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Finding the Third Proportional to 96,917 and 205,577

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Solution

The third proportional to 96,917 and 205,577 is: 436,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,917 : 205,577 = 205,577 : x
  2. Step 2: Convert to fraction form
    96,917/205,577 = 205,577/x
  3. Step 3: Cross multiply
    96,917x = 205,577 × 205,577
  4. Step 4: Simplify right side
    96,917x = 42,261,902,929
  5. Step 5: Solve for x
    x = 42,261,902,929/96,917
  6. Step 6: Final answer
    x = 436,062.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.