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Finding the Third Proportional to 125,974,327.50 and 180,143,503.31

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Solution

The third proportional to 125,974,327.50 and 180,143,503.31 is: 257,605,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,974,327.50 : 180,143,503.31 = 180,143,503.31 : x
  2. Step 2: Convert to fraction form
    125,974,327.50/180,143,503.31 = 180,143,503.31/x
  3. Step 3: Cross multiply
    125,974,327.50x = 180,143,503.31 × 180,143,503.31
  4. Step 4: Simplify right side
    125,974,327.50x = 32,451,681,785,700,700
  5. Step 5: Solve for x
    x = 32,451,681,785,700,700/125,974,327.50
  6. Step 6: Final answer
    x = 257,605,517.17

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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.