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Finding the Third Proportional to 115,581,894 and 169,541,162

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Solution

The third proportional to 115,581,894 and 169,541,162 is: 248,691,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,581,894 : 169,541,162 = 169,541,162 : x
  2. Step 2: Convert to fraction form
    115,581,894/169,541,162 = 169,541,162/x
  3. Step 3: Cross multiply
    115,581,894x = 169,541,162 × 169,541,162
  4. Step 4: Simplify right side
    115,581,894x = 28,744,205,612,310,244
  5. Step 5: Solve for x
    x = 28,744,205,612,310,244/115,581,894
  6. Step 6: Final answer
    x = 248,691,249.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.