Search for addresses near a given zip code

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I am implementing a system as an online delivery, the customer will enter the tool and put his ZIP code, with this the system should inform all restaurants/ companies, close to him.

I wonder if anyone has a good solution, to carry out this search.

My main idea was, to save in the database all the companies, with their ZIP codes and the maximum delivery radius, when the customer made the search with his ZIP code, would bring all the companies from the bank and then to each company I would use a Webservice that returns me the distance between the CEPS. But this solution does not seem to me at all efficient.

Would anyone know any way to implement this?

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