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Finding the Third Proportional to 41,401.13 and 90,048.38

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Solution

The third proportional to 41,401.13 and 90,048.38 is: 195,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,401.13 : 90,048.38 = 90,048.38 : x
  2. Step 2: Convert to fraction form
    41,401.13/90,048.38 = 90,048.38/x
  3. Step 3: Cross multiply
    41,401.13x = 90,048.38 × 90,048.38
  4. Step 4: Simplify right side
    41,401.13x = 8,108,709,840.14
  5. Step 5: Solve for x
    x = 8,108,709,840.14/41,401.13
  6. Step 6: Final answer
    x = 195,857.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.