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Finding the Third Proportional to 41,400.70 and 92,168.30

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Solution

The third proportional to 41,400.70 and 92,168.30 is: 205,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,400.70 : 92,168.30 = 92,168.30 : x
  2. Step 2: Convert to fraction form
    41,400.70/92,168.30 = 92,168.30/x
  3. Step 3: Cross multiply
    41,400.70x = 92,168.30 × 92,168.30
  4. Step 4: Simplify right side
    41,400.70x = 8,494,994,948.84
  5. Step 5: Solve for x
    x = 8,494,994,948.84/41,400.70
  6. Step 6: Final answer
    x = 205,189.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.