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Finding the Third Proportional to 38,199,151 and 82,858,107

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Solution

The third proportional to 38,199,151 and 82,858,107 is: 179,728,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,199,151 : 82,858,107 = 82,858,107 : x
  2. Step 2: Convert to fraction form
    38,199,151/82,858,107 = 82,858,107/x
  3. Step 3: Cross multiply
    38,199,151x = 82,858,107 × 82,858,107
  4. Step 4: Simplify right side
    38,199,151x = 6,865,465,895,623,449
  5. Step 5: Solve for x
    x = 6,865,465,895,623,449/38,199,151
  6. Step 6: Final answer
    x = 179,728,232.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.