In a given county, records show that of the registered voters, 50% are Democrats, 35% are Republicans, and 15% are Independents. In an election, 80% of the Democrats, 40% of the Republicans, and 90% of the Independents voted in favor of a parks and recreation bond proposal. If a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is a Republican?
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