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Finding the Third Proportional to 86,493 and 189,381

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Solution

The third proportional to 86,493 and 189,381 is: 414,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,493 : 189,381 = 189,381 : x
  2. Step 2: Convert to fraction form
    86,493/189,381 = 189,381/x
  3. Step 3: Cross multiply
    86,493x = 189,381 × 189,381
  4. Step 4: Simplify right side
    86,493x = 35,865,163,161
  5. Step 5: Solve for x
    x = 35,865,163,161/86,493
  6. Step 6: Final answer
    x = 414,659.72

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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.