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Finding the Third Proportional to 83,198,037 and 185,514,846

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Solution

The third proportional to 83,198,037 and 185,514,846 is: 413,660,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198,037 : 185,514,846 = 185,514,846 : x
  2. Step 2: Convert to fraction form
    83,198,037/185,514,846 = 185,514,846/x
  3. Step 3: Cross multiply
    83,198,037x = 185,514,846 × 185,514,846
  4. Step 4: Simplify right side
    83,198,037x = 34,415,758,086,403,716
  5. Step 5: Solve for x
    x = 34,415,758,086,403,716/83,198,037
  6. Step 6: Final answer
    x = 413,660,698.35

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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.