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Finding the Third Proportional to 41,046.75 and 89,879.63

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Solution

The third proportional to 41,046.75 and 89,879.63 is: 196,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,046.75 : 89,879.63 = 89,879.63 : x
  2. Step 2: Convert to fraction form
    41,046.75/89,879.63 = 89,879.63/x
  3. Step 3: Cross multiply
    41,046.75x = 89,879.63 × 89,879.63
  4. Step 4: Simplify right side
    41,046.75x = 8,078,346,990.14
  5. Step 5: Solve for x
    x = 8,078,346,990.14/41,046.75
  6. Step 6: Final answer
    x = 196,808.44

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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.