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Finding the Third Proportional to 50,220 and 99,180

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Solution

The third proportional to 50,220 and 99,180 is: 195,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,220 : 99,180 = 99,180 : x
  2. Step 2: Convert to fraction form
    50,220/99,180 = 99,180/x
  3. Step 3: Cross multiply
    50,220x = 99,180 × 99,180
  4. Step 4: Simplify right side
    50,220x = 9,836,672,400
  5. Step 5: Solve for x
    x = 9,836,672,400/50,220
  6. Step 6: Final answer
    x = 195,871.61

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.