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Finding the Third Proportional to 41,838.75 and 91,969.88

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Solution

The third proportional to 41,838.75 and 91,969.88 is: 202,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,838.75 : 91,969.88 = 91,969.88 : x
  2. Step 2: Convert to fraction form
    41,838.75/91,969.88 = 91,969.88/x
  3. Step 3: Cross multiply
    41,838.75x = 91,969.88 × 91,969.88
  4. Step 4: Simplify right side
    41,838.75x = 8,458,457,907.52
  5. Step 5: Solve for x
    x = 8,458,457,907.52/41,838.75
  6. Step 6: Final answer
    x = 202,168.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.