She [companied/accompanied] her boss on a bussness trip to Tokyo.

She was grateful for her [companion/company].

More successful businesswomen in Japan are paying for male [companion/company].

I find it really difficult to differentiate these words : companion, company, accompany.

Please help! Thanks

She accompanied her boss on a business trip to Tokyo.

He was grateful for her company.

More successful businesswomen in Japan are paying for male companionship.
The verb meaning to go with someone is accompany. (The only time you use a noun form for this is with music - the person who plays along with the soloist.)

A companion is a PERSON who goes with you somewhere. A travelling companion, for example. (Your companion acccompanies you on your trip.)

Company is the hardest one to define. It can describe the nature of being with someone - I enjoyed his company. I can also be the people who come to your house. We had some company for dinner.

Companionship and company are similiar in the sense of being with someone - I enjoy his companionship and I enjoy his company.
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I'm sorry but I'll have to ask you to elaborate. I understand your time is precious but this problem has been bothering me for a long time and I hope I'll be able to get some idea on how to use them rather than just answers to the examples. The reason I posted the examples, as I usually do, is that they facilitate discussion- at least that's what I think and hope.

Maybe another teacher will jump in and help. Anyway, Thanks for your reply. MM. You've helped me a great deal.
 BarbaraPA's reply was promoted to an answer.
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Thanks GG. I understand them better now.