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Finding the Third Proportional to 125,974,422 and 180,143,649

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Solution

The third proportional to 125,974,422 and 180,143,649 is: 257,605,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,974,422 : 180,143,649 = 180,143,649 : x
  2. Step 2: Convert to fraction form
    125,974,422/180,143,649 = 180,143,649/x
  3. Step 3: Cross multiply
    125,974,422x = 180,143,649 × 180,143,649
  4. Step 4: Simplify right side
    125,974,422x = 32,451,734,275,035,200
  5. Step 5: Solve for x
    x = 32,451,734,275,035,200/125,974,422
  6. Step 6: Final answer
    x = 257,605,740.59

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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.