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Finding the Third Proportional to 41,180.63 and 90,380.25

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Solution

The third proportional to 41,180.63 and 90,380.25 is: 198,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,180.63 : 90,380.25 = 90,380.25 : x
  2. Step 2: Convert to fraction form
    41,180.63/90,380.25 = 90,380.25/x
  3. Step 3: Cross multiply
    41,180.63x = 90,380.25 × 90,380.25
  4. Step 4: Simplify right side
    41,180.63x = 8,168,589,590.06
  5. Step 5: Solve for x
    x = 8,168,589,590.06/41,180.63
  6. Step 6: Final answer
    x = 198,360.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.