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Finding the Third Proportional to 95,577 and 198,991

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Solution

The third proportional to 95,577 and 198,991 is: 414,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,577 : 198,991 = 198,991 : x
  2. Step 2: Convert to fraction form
    95,577/198,991 = 198,991/x
  3. Step 3: Cross multiply
    95,577x = 198,991 × 198,991
  4. Step 4: Simplify right side
    95,577x = 39,597,418,081
  5. Step 5: Solve for x
    x = 39,597,418,081/95,577
  6. Step 6: Final answer
    x = 414,298.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.