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Finding the Third Proportional to 92,432 and 195,904

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Solution

The third proportional to 92,432 and 195,904 is: 415,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,432 : 195,904 = 195,904 : x
  2. Step 2: Convert to fraction form
    92,432/195,904 = 195,904/x
  3. Step 3: Cross multiply
    92,432x = 195,904 × 195,904
  4. Step 4: Simplify right side
    92,432x = 38,378,377,216
  5. Step 5: Solve for x
    x = 38,378,377,216/92,432
  6. Step 6: Final answer
    x = 415,206.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.