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Finding the Third Proportional to 83,514,918 and 127,768,473

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Solution

The third proportional to 83,514,918 and 127,768,473 is: 195,471,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,514,918 : 127,768,473 = 127,768,473 : x
  2. Step 2: Convert to fraction form
    83,514,918/127,768,473 = 127,768,473/x
  3. Step 3: Cross multiply
    83,514,918x = 127,768,473 × 127,768,473
  4. Step 4: Simplify right side
    83,514,918x = 16,324,782,692,751,728
  5. Step 5: Solve for x
    x = 16,324,782,692,751,728/83,514,918
  6. Step 6: Final answer
    x = 195,471,456.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.