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Finding the Third Proportional to 88,909.50 and 209,874

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Solution

The third proportional to 88,909.50 and 209,874 is: 495,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,909.50 : 209,874 = 209,874 : x
  2. Step 2: Convert to fraction form
    88,909.50/209,874 = 209,874/x
  3. Step 3: Cross multiply
    88,909.50x = 209,874 × 209,874
  4. Step 4: Simplify right side
    88,909.50x = 44,047,095,876
  5. Step 5: Solve for x
    x = 44,047,095,876/88,909.50
  6. Step 6: Final answer
    x = 495,414.95

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