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Finding the Third Proportional to 41,588.33 and 90,183.38

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Solution

The third proportional to 41,588.33 and 90,183.38 is: 195,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,588.33 : 90,183.38 = 90,183.38 : x
  2. Step 2: Convert to fraction form
    41,588.33/90,183.38 = 90,183.38/x
  3. Step 3: Cross multiply
    41,588.33x = 90,183.38 × 90,183.38
  4. Step 4: Simplify right side
    41,588.33x = 8,133,041,126.39
  5. Step 5: Solve for x
    x = 8,133,041,126.39/41,588.33
  6. Step 6: Final answer
    x = 195,560.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.