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Finding the Third Proportional to 49,882,396 and 107,190,872

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Solution

The third proportional to 49,882,396 and 107,190,872 is: 230,339,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882,396 : 107,190,872 = 107,190,872 : x
  2. Step 2: Convert to fraction form
    49,882,396/107,190,872 = 107,190,872/x
  3. Step 3: Cross multiply
    49,882,396x = 107,190,872 × 107,190,872
  4. Step 4: Simplify right side
    49,882,396x = 11,489,883,040,120,384
  5. Step 5: Solve for x
    x = 11,489,883,040,120,384/49,882,396
  6. Step 6: Final answer
    x = 230,339,437.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.