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Finding the Third Proportional to 50,447.81 and 107,046.56

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Solution

The third proportional to 50,447.81 and 107,046.56 is: 227,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,447.81 : 107,046.56 = 107,046.56 : x
  2. Step 2: Convert to fraction form
    50,447.81/107,046.56 = 107,046.56/x
  3. Step 3: Cross multiply
    50,447.81x = 107,046.56 × 107,046.56
  4. Step 4: Simplify right side
    50,447.81x = 11,458,966,543.07
  5. Step 5: Solve for x
    x = 11,458,966,543.07/50,447.81
  6. Step 6: Final answer
    x = 227,144.96

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.