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Finding the Third Proportional to 125,974,318.50 and 180,143,493.75

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Solution

The third proportional to 125,974,318.50 and 180,143,493.75 is: 257,605,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,974,318.50 : 180,143,493.75 = 180,143,493.75 : x
  2. Step 2: Convert to fraction form
    125,974,318.50/180,143,493.75 = 180,143,493.75/x
  3. Step 3: Cross multiply
    125,974,318.50x = 180,143,493.75 × 180,143,493.75
  4. Step 4: Simplify right side
    125,974,318.50x = 32,451,678,340,456,288
  5. Step 5: Solve for x
    x = 32,451,678,340,456,288/125,974,318.50
  6. Step 6: Final answer
    x = 257,605,508.22

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.