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Finding the Third Proportional to 92,512 and 196,850

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Solution

The third proportional to 92,512 and 196,850 is: 418,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,512 : 196,850 = 196,850 : x
  2. Step 2: Convert to fraction form
    92,512/196,850 = 196,850/x
  3. Step 3: Cross multiply
    92,512x = 196,850 × 196,850
  4. Step 4: Simplify right side
    92,512x = 38,749,922,500
  5. Step 5: Solve for x
    x = 38,749,922,500/92,512
  6. Step 6: Final answer
    x = 418,863.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.