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Finding the Third Proportional to 41,722.88 and 92,800.13

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Solution

The third proportional to 41,722.88 and 92,800.13 is: 206,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,722.88 : 92,800.13 = 92,800.13 : x
  2. Step 2: Convert to fraction form
    41,722.88/92,800.13 = 92,800.13/x
  3. Step 3: Cross multiply
    41,722.88x = 92,800.13 × 92,800.13
  4. Step 4: Simplify right side
    41,722.88x = 8,611,863,200.02
  5. Step 5: Solve for x
    x = 8,611,863,200.02/41,722.88
  6. Step 6: Final answer
    x = 206,406.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.