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Finding the Third Proportional to 96,182 and 206,572

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Solution

The third proportional to 96,182 and 206,572 is: 443,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,182 : 206,572 = 206,572 : x
  2. Step 2: Convert to fraction form
    96,182/206,572 = 206,572/x
  3. Step 3: Cross multiply
    96,182x = 206,572 × 206,572
  4. Step 4: Simplify right side
    96,182x = 42,671,991,184
  5. Step 5: Solve for x
    x = 42,671,991,184/96,182
  6. Step 6: Final answer
    x = 443,658.81

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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.