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Finding the Third Proportional to 95,872.50 and 206,461.13

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Solution

The third proportional to 95,872.50 and 206,461.13 is: 444,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,872.50 : 206,461.13 = 206,461.13 : x
  2. Step 2: Convert to fraction form
    95,872.50/206,461.13 = 206,461.13/x
  3. Step 3: Cross multiply
    95,872.50x = 206,461.13 × 206,461.13
  4. Step 4: Simplify right side
    95,872.50x = 42,626,196,136.27
  5. Step 5: Solve for x
    x = 42,626,196,136.27/95,872.50
  6. Step 6: Final answer
    x = 444,613.38

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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.