Finding the Third Proportional to 106,584.75 and 227,939.06
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Solution
The third proportional to 106,584.75 and 227,939.06 is: 487,463.88
Step by Step Solution
- Step 1: Write the proportion equation
106,584.75 : 227,939.06 = 227,939.06 : x - Step 2: Convert to fraction form
106,584.75/227,939.06 = 227,939.06/x - Step 3: Cross multiply
106,584.75x = 227,939.06 × 227,939.06 - Step 4: Simplify right side
106,584.75x = 51,956,216,213.38 - Step 5: Solve for x
x = 51,956,216,213.38/106,584.75 - Step 6: Final answer
x = 487,463.88
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.