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Finding the Third Proportional to 83,515,218 and 127,768,959

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Solution

The third proportional to 83,515,218 and 127,768,959 is: 195,472,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,515,218 : 127,768,959 = 127,768,959 : x
  2. Step 2: Convert to fraction form
    83,515,218/127,768,959 = 127,768,959/x
  3. Step 3: Cross multiply
    83,515,218x = 127,768,959 × 127,768,959
  4. Step 4: Simplify right side
    83,515,218x = 16,324,906,883,943,680
  5. Step 5: Solve for x
    x = 16,324,906,883,943,680/83,515,218
  6. Step 6: Final answer
    x = 195,472,241.76

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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.