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Finding the Third Proportional to 111,848,691 and 239,242,092

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Solution

The third proportional to 111,848,691 and 239,242,092 is: 511,734,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,848,691 : 239,242,092 = 239,242,092 : x
  2. Step 2: Convert to fraction form
    111,848,691/239,242,092 = 239,242,092/x
  3. Step 3: Cross multiply
    111,848,691x = 239,242,092 × 239,242,092
  4. Step 4: Simplify right side
    111,848,691x = 57,236,778,584,536,464
  5. Step 5: Solve for x
    x = 57,236,778,584,536,464/111,848,691
  6. Step 6: Final answer
    x = 511,734,004.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.