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Finding the Third Proportional to 156,646,622 and 339,327,724

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Solution

The third proportional to 156,646,622 and 339,327,724 is: 735,051,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,646,622 : 339,327,724 = 339,327,724 : x
  2. Step 2: Convert to fraction form
    156,646,622/339,327,724 = 339,327,724/x
  3. Step 3: Cross multiply
    156,646,622x = 339,327,724 × 339,327,724
  4. Step 4: Simplify right side
    156,646,622x = 115,143,304,275,020,176
  5. Step 5: Solve for x
    x = 115,143,304,275,020,176/156,646,622
  6. Step 6: Final answer
    x = 735,051,307.23

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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.