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Finding the Third Proportional to 107,647.31 and 231,748.17

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Solution

The third proportional to 107,647.31 and 231,748.17 is: 498,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,647.31 : 231,748.17 = 231,748.17 : x
  2. Step 2: Convert to fraction form
    107,647.31/231,748.17 = 231,748.17/x
  3. Step 3: Cross multiply
    107,647.31x = 231,748.17 × 231,748.17
  4. Step 4: Simplify right side
    107,647.31x = 53,707,215,167.40
  5. Step 5: Solve for x
    x = 53,707,215,167.40/107,647.31
  6. Step 6: Final answer
    x = 498,918.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.