Finding the Third Proportional to 96,294.56 and 214,717.31
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Solution
The third proportional to 96,294.56 and 214,717.31 is: 478,775.99
Step by Step Solution
- Step 1: Write the proportion equation
96,294.56 : 214,717.31 = 214,717.31 : x - Step 2: Convert to fraction form
96,294.56/214,717.31 = 214,717.31/x - Step 3: Cross multiply
96,294.56x = 214,717.31 × 214,717.31 - Step 4: Simplify right side
96,294.56x = 46,103,524,287.22 - Step 5: Solve for x
x = 46,103,524,287.22/96,294.56 - Step 6: Final answer
x = 478,775.99
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.