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Finding the Third Proportional to 87,016 and 190,840

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Solution

The third proportional to 87,016 and 190,840 is: 418,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,016 : 190,840 = 190,840 : x
  2. Step 2: Convert to fraction form
    87,016/190,840 = 190,840/x
  3. Step 3: Cross multiply
    87,016x = 190,840 × 190,840
  4. Step 4: Simplify right side
    87,016x = 36,419,905,600
  5. Step 5: Solve for x
    x = 36,419,905,600/87,016
  6. Step 6: Final answer
    x = 418,542.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.