The words meeter, meter sound the same but have different meanings and spellings. Why do meeter, meter sound the same even though they are completely different words?
The answer is simple: meeter, meter are homophones of the English language.
comparative form of meet: more meet
One who meets.
To provide with a parking meter or parking meters: meter parking spaces.
To imprint with postage or other revenue stamps by means of a postage meter or similar device: metering bulk mail.
To supply in a measured or regulated amount: metered the allotted gasoline to each vehicle.
To measure with a meter: meter a flow of water.
Definitions from Wiktionary, Creative Commons Attribution/Share-Alike License, from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.
Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.