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Finding the Third Proportional to 156,087,984 and 336,149,744

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Solution

The third proportional to 156,087,984 and 336,149,744 is: 723,929,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,087,984 : 336,149,744 = 336,149,744 : x
  2. Step 2: Convert to fraction form
    156,087,984/336,149,744 = 336,149,744/x
  3. Step 3: Cross multiply
    156,087,984x = 336,149,744 × 336,149,744
  4. Step 4: Simplify right side
    156,087,984x = 112,996,650,391,265,536
  5. Step 5: Solve for x
    x = 112,996,650,391,265,536/156,087,984
  6. Step 6: Final answer
    x = 723,929,206.44

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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.