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Finding the Third Proportional to 49,785.19 and 107,521.03

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Solution

The third proportional to 49,785.19 and 107,521.03 is: 232,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,785.19 : 107,521.03 = 107,521.03 : x
  2. Step 2: Convert to fraction form
    49,785.19/107,521.03 = 107,521.03/x
  3. Step 3: Cross multiply
    49,785.19x = 107,521.03 × 107,521.03
  4. Step 4: Simplify right side
    49,785.19x = 11,560,772,161.06
  5. Step 5: Solve for x
    x = 11,560,772,161.06/49,785.19
  6. Step 6: Final answer
    x = 232,213.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.