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Finding the Third Proportional to 41,653.13 and 91,415.81

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Solution

The third proportional to 41,653.13 and 91,415.81 is: 200,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,653.13 : 91,415.81 = 91,415.81 : x
  2. Step 2: Convert to fraction form
    41,653.13/91,415.81 = 91,415.81/x
  3. Step 3: Cross multiply
    41,653.13x = 91,415.81 × 91,415.81
  4. Step 4: Simplify right side
    41,653.13x = 8,356,850,775.04
  5. Step 5: Solve for x
    x = 8,356,850,775.04/41,653.13
  6. Step 6: Final answer
    x = 200,629.62

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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.