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Finding the Third Proportional to 41,618.81 and 91,022.06

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Solution

The third proportional to 41,618.81 and 91,022.06 is: 199,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,618.81 : 91,022.06 = 91,022.06 : x
  2. Step 2: Convert to fraction form
    41,618.81/91,022.06 = 91,022.06/x
  3. Step 3: Cross multiply
    41,618.81x = 91,022.06 × 91,022.06
  4. Step 4: Simplify right side
    41,618.81x = 8,285,015,861.75
  5. Step 5: Solve for x
    x = 8,285,015,861.75/41,618.81
  6. Step 6: Final answer
    x = 199,069.01

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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.