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Finding the Third Proportional to 94,165 and 206,919

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Solution

The third proportional to 94,165 and 206,919 is: 454,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,165 : 206,919 = 206,919 : x
  2. Step 2: Convert to fraction form
    94,165/206,919 = 206,919/x
  3. Step 3: Cross multiply
    94,165x = 206,919 × 206,919
  4. Step 4: Simplify right side
    94,165x = 42,815,472,561
  5. Step 5: Solve for x
    x = 42,815,472,561/94,165
  6. Step 6: Final answer
    x = 454,685.63

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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.