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Finding the Third Proportional to 43,216 and 92,992

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Solution

The third proportional to 43,216 and 92,992 is: 200,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,216 : 92,992 = 92,992 : x
  2. Step 2: Convert to fraction form
    43,216/92,992 = 92,992/x
  3. Step 3: Cross multiply
    43,216x = 92,992 × 92,992
  4. Step 4: Simplify right side
    43,216x = 8,647,512,064
  5. Step 5: Solve for x
    x = 8,647,512,064/43,216
  6. Step 6: Final answer
    x = 200,099.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.