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Finding the Third Proportional to 49,104.98 and 107,205.71

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Solution

The third proportional to 49,104.98 and 107,205.71 is: 234,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,104.98 : 107,205.71 = 107,205.71 : x
  2. Step 2: Convert to fraction form
    49,104.98/107,205.71 = 107,205.71/x
  3. Step 3: Cross multiply
    49,104.98x = 107,205.71 × 107,205.71
  4. Step 4: Simplify right side
    49,104.98x = 11,493,065,295.16
  5. Step 5: Solve for x
    x = 11,493,065,295.16/49,104.98
  6. Step 6: Final answer
    x = 234,050.89

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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.