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Finding the Third Proportional to 50,594.50 and 108,843

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Solution

The third proportional to 50,594.50 and 108,843 is: 234,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,594.50 : 108,843 = 108,843 : x
  2. Step 2: Convert to fraction form
    50,594.50/108,843 = 108,843/x
  3. Step 3: Cross multiply
    50,594.50x = 108,843 × 108,843
  4. Step 4: Simplify right side
    50,594.50x = 11,846,798,649
  5. Step 5: Solve for x
    x = 11,846,798,649/50,594.50
  6. Step 6: Final answer
    x = 234,151.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.