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Finding the Third Proportional to 43,102.13 and 91,945.13

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Solution

The third proportional to 43,102.13 and 91,945.13 is: 196,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,102.13 : 91,945.13 = 91,945.13 : x
  2. Step 2: Convert to fraction form
    43,102.13/91,945.13 = 91,945.13/x
  3. Step 3: Cross multiply
    43,102.13x = 91,945.13 × 91,945.13
  4. Step 4: Simplify right side
    43,102.13x = 8,453,906,011.27
  5. Step 5: Solve for x
    x = 8,453,906,011.27/43,102.13
  6. Step 6: Final answer
    x = 196,136.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.