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Finding the Third Proportional to 178,888,162 and 386,498,676

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Solution

The third proportional to 178,888,162 and 386,498,676 is: 835,053,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,888,162 : 386,498,676 = 386,498,676 : x
  2. Step 2: Convert to fraction form
    178,888,162/386,498,676 = 386,498,676/x
  3. Step 3: Cross multiply
    178,888,162x = 386,498,676 × 386,498,676
  4. Step 4: Simplify right side
    178,888,162x = 149,381,226,549,752,960
  5. Step 5: Solve for x
    x = 149,381,226,549,752,960/178,888,162
  6. Step 6: Final answer
    x = 835,053,727.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.