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Finding the Third Proportional to 95,016.94 and 206,461.13

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Solution

The third proportional to 95,016.94 and 206,461.13 is: 448,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,016.94 : 206,461.13 = 206,461.13 : x
  2. Step 2: Convert to fraction form
    95,016.94/206,461.13 = 206,461.13/x
  3. Step 3: Cross multiply
    95,016.94x = 206,461.13 × 206,461.13
  4. Step 4: Simplify right side
    95,016.94x = 42,626,196,136.27
  5. Step 5: Solve for x
    x = 42,626,196,136.27/95,016.94
  6. Step 6: Final answer
    x = 448,616.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.