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Finding the Third Proportional to 83,148,228 and 179,442,872

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Solution

The third proportional to 83,148,228 and 179,442,872 is: 387,257,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148,228 : 179,442,872 = 179,442,872 : x
  2. Step 2: Convert to fraction form
    83,148,228/179,442,872 = 179,442,872/x
  3. Step 3: Cross multiply
    83,148,228x = 179,442,872 × 179,442,872
  4. Step 4: Simplify right side
    83,148,228x = 32,199,744,311,608,384
  5. Step 5: Solve for x
    x = 32,199,744,311,608,384/83,148,228
  6. Step 6: Final answer
    x = 387,257,132.07

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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.