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Finding the Third Proportional to 88,933 and 209,931

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Solution

The third proportional to 88,933 and 209,931 is: 495,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,933 : 209,931 = 209,931 : x
  2. Step 2: Convert to fraction form
    88,933/209,931 = 209,931/x
  3. Step 3: Cross multiply
    88,933x = 209,931 × 209,931
  4. Step 4: Simplify right side
    88,933x = 44,071,024,761
  5. Step 5: Solve for x
    x = 44,071,024,761/88,933
  6. Step 6: Final answer
    x = 495,553.11

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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.