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Finding the Third Proportional to 107,285,710.50 and 231,722,689.50

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Solution

The third proportional to 107,285,710.50 and 231,722,689.50 is: 500,489,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,285,710.50 : 231,722,689.50 = 231,722,689.50 : x
  2. Step 2: Convert to fraction form
    107,285,710.50/231,722,689.50 = 231,722,689.50/x
  3. Step 3: Cross multiply
    107,285,710.50x = 231,722,689.50 × 231,722,689.50
  4. Step 4: Simplify right side
    107,285,710.50x = 53,695,404,829,113,408
  5. Step 5: Solve for x
    x = 53,695,404,829,113,408/107,285,710.50
  6. Step 6: Final answer
    x = 500,489,809.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.