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Finding the Third Proportional to 125,468,133.75 and 271,780,566.75

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Solution

The third proportional to 125,468,133.75 and 271,780,566.75 is: 588,712,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,468,133.75 : 271,780,566.75 = 271,780,566.75 : x
  2. Step 2: Convert to fraction form
    125,468,133.75/271,780,566.75 = 271,780,566.75/x
  3. Step 3: Cross multiply
    125,468,133.75x = 271,780,566.75 × 271,780,566.75
  4. Step 4: Simplify right side
    125,468,133.75x = 73,864,676,462,951,200
  5. Step 5: Solve for x
    x = 73,864,676,462,951,200/125,468,133.75
  6. Step 6: Final answer
    x = 588,712,641.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.