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Since the entire reaction, in order to come to a completion, has to wait for the slowest step to finish, the overall reaction rate is pretty much reliant on the rate of the slowest step. That's why the slowest step is called the rate-determining step.
The rate determining state is the slowest step in a reaction mechanism because it the overall reaction is only moves towards completion until the all steps of the reaction mechanism are completed and that is dependent on the slowest step as that step takes the longest to complete and will complete last.
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