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Finding the Third Proportional to 95,309.87 and 206,310.80

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Solution

The third proportional to 95,309.87 and 206,310.80 is: 446,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,309.87 : 206,310.80 = 206,310.80 : x
  2. Step 2: Convert to fraction form
    95,309.87/206,310.80 = 206,310.80/x
  3. Step 3: Cross multiply
    95,309.87x = 206,310.80 × 206,310.80
  4. Step 4: Simplify right side
    95,309.87x = 42,564,144,907.20
  5. Step 5: Solve for x
    x = 42,564,144,907.20/95,309.87
  6. Step 6: Final answer
    x = 446,586.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.