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Finding the Third Proportional to 92,432 and 189,244

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Solution

The third proportional to 92,432 and 189,244 is: 387,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,432 : 189,244 = 189,244 : x
  2. Step 2: Convert to fraction form
    92,432/189,244 = 189,244/x
  3. Step 3: Cross multiply
    92,432x = 189,244 × 189,244
  4. Step 4: Simplify right side
    92,432x = 35,813,291,536
  5. Step 5: Solve for x
    x = 35,813,291,536/92,432
  6. Step 6: Final answer
    x = 387,455.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.