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Finding the Third Proportional to 96,630 and 207,551

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Solution

The third proportional to 96,630 and 207,551 is: 445,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,630 : 207,551 = 207,551 : x
  2. Step 2: Convert to fraction form
    96,630/207,551 = 207,551/x
  3. Step 3: Cross multiply
    96,630x = 207,551 × 207,551
  4. Step 4: Simplify right side
    96,630x = 43,077,417,601
  5. Step 5: Solve for x
    x = 43,077,417,601/96,630
  6. Step 6: Final answer
    x = 445,797.55

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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.