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Finding the Third Proportional to 86,634 and 189,812

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Solution

The third proportional to 86,634 and 189,812 is: 415,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,634 : 189,812 = 189,812 : x
  2. Step 2: Convert to fraction form
    86,634/189,812 = 189,812/x
  3. Step 3: Cross multiply
    86,634x = 189,812 × 189,812
  4. Step 4: Simplify right side
    86,634x = 36,028,595,344
  5. Step 5: Solve for x
    x = 36,028,595,344/86,634
  6. Step 6: Final answer
    x = 415,871.31

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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.