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Finding the Third Proportional to 94,010 and 206,626

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Solution

The third proportional to 94,010 and 206,626 is: 454,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,010 : 206,626 = 206,626 : x
  2. Step 2: Convert to fraction form
    94,010/206,626 = 206,626/x
  3. Step 3: Cross multiply
    94,010x = 206,626 × 206,626
  4. Step 4: Simplify right side
    94,010x = 42,694,303,876
  5. Step 5: Solve for x
    x = 42,694,303,876/94,010
  6. Step 6: Final answer
    x = 454,146.41

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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.