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Finding the Third Proportional to 41,529.38 and 91,362.38

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Solution

The third proportional to 41,529.38 and 91,362.38 is: 200,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,529.38 : 91,362.38 = 91,362.38 : x
  2. Step 2: Convert to fraction form
    41,529.38/91,362.38 = 91,362.38/x
  3. Step 3: Cross multiply
    41,529.38x = 91,362.38 × 91,362.38
  4. Step 4: Simplify right side
    41,529.38x = 8,347,083,565.64
  5. Step 5: Solve for x
    x = 8,347,083,565.64/41,529.38
  6. Step 6: Final answer
    x = 200,992.28

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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.