I am not sure if we will know hot the ratio was first discovered, but it was definitely being used in Ancient Greek times by Philsophers like Pythagoras.
In my work I use ratios to consider things like probability, for example if you did something 100 times how many times would the event happen. We then use this ratio in calculations.
In my day to day life ratios are used all the time, e.g. how much fuel I have left in the car and in cooking (for example splitting up big batches of cooking into meals)
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