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Finding the Third Proportional to 88,802 and 195,103

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Solution

The third proportional to 88,802 and 195,103 is: 428,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,802 : 195,103 = 195,103 : x
  2. Step 2: Convert to fraction form
    88,802/195,103 = 195,103/x
  3. Step 3: Cross multiply
    88,802x = 195,103 × 195,103
  4. Step 4: Simplify right side
    88,802x = 38,065,180,609
  5. Step 5: Solve for x
    x = 38,065,180,609/88,802
  6. Step 6: Final answer
    x = 428,652.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.