@u2764
Hello, french here.
In our history we have had two kinds (2 classes in marxist) of «wealthy people who run the society and exploit the poor» : the nobles in feudalism and the bourgeois in capitalism. So at one point it was necesary (? spelling) to have that distinction.
As of the distinction a bourgeois needs to be a capitalist whereas a rich can just have inherited.
«Bourgeoisie» is kinda dated now though.
Anyway I hope that was useful and I didn't sound to pedantic