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Finding the Third Proportional to 50,667.75 and 107,896.50

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Solution

The third proportional to 50,667.75 and 107,896.50 is: 229,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,667.75 : 107,896.50 = 107,896.50 : x
  2. Step 2: Convert to fraction form
    50,667.75/107,896.50 = 107,896.50/x
  3. Step 3: Cross multiply
    50,667.75x = 107,896.50 × 107,896.50
  4. Step 4: Simplify right side
    50,667.75x = 11,641,654,712.25
  5. Step 5: Solve for x
    x = 11,641,654,712.25/50,667.75
  6. Step 6: Final answer
    x = 229,764.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.