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Finding the Third Proportional to 49,723.88 and 107,390.81

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Solution

The third proportional to 49,723.88 and 107,390.81 is: 231,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,723.88 : 107,390.81 = 107,390.81 : x
  2. Step 2: Convert to fraction form
    49,723.88/107,390.81 = 107,390.81/x
  3. Step 3: Cross multiply
    49,723.88x = 107,390.81 × 107,390.81
  4. Step 4: Simplify right side
    49,723.88x = 11,532,786,609.41
  5. Step 5: Solve for x
    x = 11,532,786,609.41/49,723.88
  6. Step 6: Final answer
    x = 231,936.60

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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.