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Finding the Third Proportional to 128,250,221.25 and 269,097,562.50

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Solution

The third proportional to 128,250,221.25 and 269,097,562.50 is: 564,626,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,250,221.25 : 269,097,562.50 = 269,097,562.50 : x
  2. Step 2: Convert to fraction form
    128,250,221.25/269,097,562.50 = 269,097,562.50/x
  3. Step 3: Cross multiply
    128,250,221.25x = 269,097,562.50 × 269,097,562.50
  4. Step 4: Simplify right side
    128,250,221.25x = 72,413,498,143,441,408
  5. Step 5: Solve for x
    x = 72,413,498,143,441,408/128,250,221.25
  6. Step 6: Final answer
    x = 564,626,691.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.