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Finding the Third Proportional to 156,646,544 and 339,327,568

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Solution

The third proportional to 156,646,544 and 339,327,568 is: 735,050,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,646,544 : 339,327,568 = 339,327,568 : x
  2. Step 2: Convert to fraction form
    156,646,544/339,327,568 = 339,327,568/x
  3. Step 3: Cross multiply
    156,646,544x = 339,327,568 × 339,327,568
  4. Step 4: Simplify right side
    156,646,544x = 115,143,198,404,794,624
  5. Step 5: Solve for x
    x = 115,143,198,404,794,624/156,646,544
  6. Step 6: Final answer
    x = 735,050,997.39

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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.