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Finding the Third Proportional to 88,150 and 195,920

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Solution

The third proportional to 88,150 and 195,920 is: 435,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,150 : 195,920 = 195,920 : x
  2. Step 2: Convert to fraction form
    88,150/195,920 = 195,920/x
  3. Step 3: Cross multiply
    88,150x = 195,920 × 195,920
  4. Step 4: Simplify right side
    88,150x = 38,384,646,400
  5. Step 5: Solve for x
    x = 38,384,646,400/88,150
  6. Step 6: Final answer
    x = 435,446.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.