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Finding the Third Proportional to 49,167 and 105,344.30

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Solution

The third proportional to 49,167 and 105,344.30 is: 225,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,167 : 105,344.30 = 105,344.30 : x
  2. Step 2: Convert to fraction form
    49,167/105,344.30 = 105,344.30/x
  3. Step 3: Cross multiply
    49,167x = 105,344.30 × 105,344.30
  4. Step 4: Simplify right side
    49,167x = 11,097,420,884.09
  5. Step 5: Solve for x
    x = 11,097,420,884.09/49,167
  6. Step 6: Final answer
    x = 225,708.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.