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Finding the Third Proportional to 125,974,332 and 180,143,500.50

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Solution

The third proportional to 125,974,332 and 180,143,500.50 is: 257,605,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,974,332 : 180,143,500.50 = 180,143,500.50 : x
  2. Step 2: Convert to fraction form
    125,974,332/180,143,500.50 = 180,143,500.50/x
  3. Step 3: Cross multiply
    125,974,332x = 180,143,500.50 × 180,143,500.50
  4. Step 4: Simplify right side
    125,974,332x = 32,451,680,772,393,500
  5. Step 5: Solve for x
    x = 32,451,680,772,393,500/125,974,332
  6. Step 6: Final answer
    x = 257,605,499.92

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Why These Related Problems?

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