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Finding the Third Proportional to 88,919 and 209,901

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Solution

The third proportional to 88,919 and 209,901 is: 495,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,919 : 209,901 = 209,901 : x
  2. Step 2: Convert to fraction form
    88,919/209,901 = 209,901/x
  3. Step 3: Cross multiply
    88,919x = 209,901 × 209,901
  4. Step 4: Simplify right side
    88,919x = 44,058,429,801
  5. Step 5: Solve for x
    x = 44,058,429,801/88,919
  6. Step 6: Final answer
    x = 495,489.49

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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.