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Finding the Third Proportional to 125,469,096 and 271,782,480

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Solution

The third proportional to 125,469,096 and 271,782,480 is: 588,716,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,469,096 : 271,782,480 = 271,782,480 : x
  2. Step 2: Convert to fraction form
    125,469,096/271,782,480 = 271,782,480/x
  3. Step 3: Cross multiply
    125,469,096x = 271,782,480 × 271,782,480
  4. Step 4: Simplify right side
    125,469,096x = 73,865,716,434,950,400
  5. Step 5: Solve for x
    x = 73,865,716,434,950,400/125,469,096
  6. Step 6: Final answer
    x = 588,716,415.35

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Why These Related Problems?

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