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Finding the Third Proportional to 155,148,446 and 231,377,253

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Solution

The third proportional to 155,148,446 and 231,377,253 is: 345,059,422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,148,446 : 231,377,253 = 231,377,253 : x
  2. Step 2: Convert to fraction form
    155,148,446/231,377,253 = 231,377,253/x
  3. Step 3: Cross multiply
    155,148,446x = 231,377,253 × 231,377,253
  4. Step 4: Simplify right side
    155,148,446x = 53,535,433,205,826,008
  5. Step 5: Solve for x
    x = 53,535,433,205,826,008/155,148,446
  6. Step 6: Final answer
    x = 345,059,422.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.