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Finding the Third Proportional to 96,484.50 and 206,811

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Solution

The third proportional to 96,484.50 and 206,811 is: 443,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,484.50 : 206,811 = 206,811 : x
  2. Step 2: Convert to fraction form
    96,484.50/206,811 = 206,811/x
  3. Step 3: Cross multiply
    96,484.50x = 206,811 × 206,811
  4. Step 4: Simplify right side
    96,484.50x = 42,770,789,721
  5. Step 5: Solve for x
    x = 42,770,789,721/96,484.50
  6. Step 6: Final answer
    x = 443,291.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.