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Finding the Third Proportional to 94,023 and 206,649

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Solution

The third proportional to 94,023 and 206,649 is: 454,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,023 : 206,649 = 206,649 : x
  2. Step 2: Convert to fraction form
    94,023/206,649 = 206,649/x
  3. Step 3: Cross multiply
    94,023x = 206,649 × 206,649
  4. Step 4: Simplify right side
    94,023x = 42,703,809,201
  5. Step 5: Solve for x
    x = 42,703,809,201/94,023
  6. Step 6: Final answer
    x = 454,184.71

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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.