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Finding the Third Proportional to 41,313.38 and 89,186.06

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Solution

The third proportional to 41,313.38 and 89,186.06 is: 192,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,313.38 : 89,186.06 = 89,186.06 : x
  2. Step 2: Convert to fraction form
    41,313.38/89,186.06 = 89,186.06/x
  3. Step 3: Cross multiply
    41,313.38x = 89,186.06 × 89,186.06
  4. Step 4: Simplify right side
    41,313.38x = 7,954,153,744.25
  5. Step 5: Solve for x
    x = 7,954,153,744.25/41,313.38
  6. Step 6: Final answer
    x = 192,532.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.