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Finding the Third Proportional to 95,998.50 and 206,713.50

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Solution

The third proportional to 95,998.50 and 206,713.50 is: 445,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,998.50 : 206,713.50 = 206,713.50 : x
  2. Step 2: Convert to fraction form
    95,998.50/206,713.50 = 206,713.50/x
  3. Step 3: Cross multiply
    95,998.50x = 206,713.50 × 206,713.50
  4. Step 4: Simplify right side
    95,998.50x = 42,730,471,082.25
  5. Step 5: Solve for x
    x = 42,730,471,082.25/95,998.50
  6. Step 6: Final answer
    x = 445,116.03

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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.