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Finding the Third Proportional to 89,165,922 and 125,565,267

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Solution

The third proportional to 89,165,922 and 125,565,267 is: 176,823,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,165,922 : 125,565,267 = 125,565,267 : x
  2. Step 2: Convert to fraction form
    89,165,922/125,565,267 = 125,565,267/x
  3. Step 3: Cross multiply
    89,165,922x = 125,565,267 × 125,565,267
  4. Step 4: Simplify right side
    89,165,922x = 15,766,636,276,781,288
  5. Step 5: Solve for x
    x = 15,766,636,276,781,288/89,165,922
  6. Step 6: Final answer
    x = 176,823,565.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.