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Finding the Third Proportional to 83,198,052 and 185,514,876

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Solution

The third proportional to 83,198,052 and 185,514,876 is: 413,660,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198,052 : 185,514,876 = 185,514,876 : x
  2. Step 2: Convert to fraction form
    83,198,052/185,514,876 = 185,514,876/x
  3. Step 3: Cross multiply
    83,198,052x = 185,514,876 × 185,514,876
  4. Step 4: Simplify right side
    83,198,052x = 34,415,769,217,295,376
  5. Step 5: Solve for x
    x = 34,415,769,217,295,376/83,198,052
  6. Step 6: Final answer
    x = 413,660,757.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.