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Finding the Third Proportional to 100,082 and 219,847

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Solution

The third proportional to 100,082 and 219,847 is: 482,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,082 : 219,847 = 219,847 : x
  2. Step 2: Convert to fraction form
    100,082/219,847 = 219,847/x
  3. Step 3: Cross multiply
    100,082x = 219,847 × 219,847
  4. Step 4: Simplify right side
    100,082x = 48,332,703,409
  5. Step 5: Solve for x
    x = 48,332,703,409/100,082
  6. Step 6: Final answer
    x = 482,931.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.