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Finding the Third Proportional to 88,021 and 192,098

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Solution

The third proportional to 88,021 and 192,098 is: 419,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,021 : 192,098 = 192,098 : x
  2. Step 2: Convert to fraction form
    88,021/192,098 = 192,098/x
  3. Step 3: Cross multiply
    88,021x = 192,098 × 192,098
  4. Step 4: Simplify right side
    88,021x = 36,901,641,604
  5. Step 5: Solve for x
    x = 36,901,641,604/88,021
  6. Step 6: Final answer
    x = 419,236.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.