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Finding the Third Proportional to 88,170 and 193,836

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Solution

The third proportional to 88,170 and 193,836 is: 426,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,170 : 193,836 = 193,836 : x
  2. Step 2: Convert to fraction form
    88,170/193,836 = 193,836/x
  3. Step 3: Cross multiply
    88,170x = 193,836 × 193,836
  4. Step 4: Simplify right side
    88,170x = 37,572,394,896
  5. Step 5: Solve for x
    x = 37,572,394,896/88,170
  6. Step 6: Final answer
    x = 426,135.82

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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.