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Finding the Third Proportional to 41,623.88 and 91,028.81

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Solution

The third proportional to 41,623.88 and 91,028.81 is: 199,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,623.88 : 91,028.81 = 91,028.81 : x
  2. Step 2: Convert to fraction form
    41,623.88/91,028.81 = 91,028.81/x
  3. Step 3: Cross multiply
    41,623.88x = 91,028.81 × 91,028.81
  4. Step 4: Simplify right side
    41,623.88x = 8,286,244,705.16
  5. Step 5: Solve for x
    x = 8,286,244,705.16/41,623.88
  6. Step 6: Final answer
    x = 199,074.32

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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.