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Finding the Third Proportional to 88,016 and 192,088

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Solution

The third proportional to 88,016 and 192,088 is: 419,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,016 : 192,088 = 192,088 : x
  2. Step 2: Convert to fraction form
    88,016/192,088 = 192,088/x
  3. Step 3: Cross multiply
    88,016x = 192,088 × 192,088
  4. Step 4: Simplify right side
    88,016x = 36,897,799,744
  5. Step 5: Solve for x
    x = 36,897,799,744/88,016
  6. Step 6: Final answer
    x = 419,216.96

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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.