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Finding the Third Proportional to 41,891.25 and 91,168.50

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Solution

The third proportional to 41,891.25 and 91,168.50 is: 198,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,891.25 : 91,168.50 = 91,168.50 : x
  2. Step 2: Convert to fraction form
    41,891.25/91,168.50 = 91,168.50/x
  3. Step 3: Cross multiply
    41,891.25x = 91,168.50 × 91,168.50
  4. Step 4: Simplify right side
    41,891.25x = 8,311,695,392.25
  5. Step 5: Solve for x
    x = 8,311,695,392.25/41,891.25
  6. Step 6: Final answer
    x = 198,411.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.