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Finding the Third Proportional to 107,404.31 and 231,450.75

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Solution

The third proportional to 107,404.31 and 231,450.75 is: 498,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,404.31 : 231,450.75 = 231,450.75 : x
  2. Step 2: Convert to fraction form
    107,404.31/231,450.75 = 231,450.75/x
  3. Step 3: Cross multiply
    107,404.31x = 231,450.75 × 231,450.75
  4. Step 4: Simplify right side
    107,404.31x = 53,569,449,675.56
  5. Step 5: Solve for x
    x = 53,569,449,675.56/107,404.31
  6. Step 6: Final answer
    x = 498,764.42

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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.