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Finding the Third Proportional to 111,179,934 and 172,359,864

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Solution

The third proportional to 111,179,934 and 172,359,864 is: 267,205,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,179,934 : 172,359,864 = 172,359,864 : x
  2. Step 2: Convert to fraction form
    111,179,934/172,359,864 = 172,359,864/x
  3. Step 3: Cross multiply
    111,179,934x = 172,359,864 × 172,359,864
  4. Step 4: Simplify right side
    111,179,934x = 29,707,922,718,098,496
  5. Step 5: Solve for x
    x = 29,707,922,718,098,496/111,179,934
  6. Step 6: Final answer
    x = 267,205,795.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.