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Finding the Third Proportional to 88,941 and 209,949

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Solution

The third proportional to 88,941 and 209,949 is: 495,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,941 : 209,949 = 209,949 : x
  2. Step 2: Convert to fraction form
    88,941/209,949 = 209,949/x
  3. Step 3: Cross multiply
    88,941x = 209,949 × 209,949
  4. Step 4: Simplify right side
    88,941x = 44,078,582,601
  5. Step 5: Solve for x
    x = 44,078,582,601/88,941
  6. Step 6: Final answer
    x = 495,593.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.