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Finding the Third Proportional to 150,991,149,512 and 226,265,854,721

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Solution

The third proportional to 150,991,149,512 and 226,265,854,721 is: 339,067,800,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,991,149,512 : 226,265,854,721 = 226,265,854,721 : x
  2. Step 2: Convert to fraction form
    150,991,149,512/226,265,854,721 = 226,265,854,721/x
  3. Step 3: Cross multiply
    150,991,149,512x = 226,265,854,721 × 226,265,854,721
  4. Step 4: Simplify right side
    150,991,149,512x = 51,196,237,012,624,675,438,592
  5. Step 5: Solve for x
    x = 51,196,237,012,624,675,438,592/150,991,149,512
  6. Step 6: Final answer
    x = 339,067,800,848.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.