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Finding the Third Proportional to 122,097,665 and 261,919,800

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Solution

The third proportional to 122,097,665 and 261,919,800 is: 561,861,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,097,665 : 261,919,800 = 261,919,800 : x
  2. Step 2: Convert to fraction form
    122,097,665/261,919,800 = 261,919,800/x
  3. Step 3: Cross multiply
    122,097,665x = 261,919,800 × 261,919,800
  4. Step 4: Simplify right side
    122,097,665x = 68,601,981,632,040,000
  5. Step 5: Solve for x
    x = 68,601,981,632,040,000/122,097,665
  6. Step 6: Final answer
    x = 561,861,536.27

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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.