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Finding the Third Proportional to 88,930 and 209,924

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Solution

The third proportional to 88,930 and 209,924 is: 495,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,930 : 209,924 = 209,924 : x
  2. Step 2: Convert to fraction form
    88,930/209,924 = 209,924/x
  3. Step 3: Cross multiply
    88,930x = 209,924 × 209,924
  4. Step 4: Simplify right side
    88,930x = 44,068,085,776
  5. Step 5: Solve for x
    x = 44,068,085,776/88,930
  6. Step 6: Final answer
    x = 495,536.78

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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.