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Finding the Third Proportional to 41,826.38 and 90,168.19

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Solution

The third proportional to 41,826.38 and 90,168.19 is: 194,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,826.38 : 90,168.19 = 90,168.19 : x
  2. Step 2: Convert to fraction form
    41,826.38/90,168.19 = 90,168.19/x
  3. Step 3: Cross multiply
    41,826.38x = 90,168.19 × 90,168.19
  4. Step 4: Simplify right side
    41,826.38x = 8,130,302,037.04
  5. Step 5: Solve for x
    x = 8,130,302,037.04/41,826.38
  6. Step 6: Final answer
    x = 194,382.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.