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Finding the Third Proportional to 49,515.05 and 108,102.09

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Solution

The third proportional to 49,515.05 and 108,102.09 is: 236,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,515.05 : 108,102.09 = 108,102.09 : x
  2. Step 2: Convert to fraction form
    49,515.05/108,102.09 = 108,102.09/x
  3. Step 3: Cross multiply
    49,515.05x = 108,102.09 × 108,102.09
  4. Step 4: Simplify right side
    49,515.05x = 11,686,062,673.13
  5. Step 5: Solve for x
    x = 11,686,062,673.13/49,515.05
  6. Step 6: Final answer
    x = 236,010.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.