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Finding the Third Proportional to 95,026.50 and 206,481

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Solution

The third proportional to 95,026.50 and 206,481 is: 448,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,026.50 : 206,481 = 206,481 : x
  2. Step 2: Convert to fraction form
    95,026.50/206,481 = 206,481/x
  3. Step 3: Cross multiply
    95,026.50x = 206,481 × 206,481
  4. Step 4: Simplify right side
    95,026.50x = 42,634,403,361
  5. Step 5: Solve for x
    x = 42,634,403,361/95,026.50
  6. Step 6: Final answer
    x = 448,658.04

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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.