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Finding the Third Proportional to 50,199.75 and 104,557.50

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Solution

The third proportional to 50,199.75 and 104,557.50 is: 217,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,199.75 : 104,557.50 = 104,557.50 : x
  2. Step 2: Convert to fraction form
    50,199.75/104,557.50 = 104,557.50/x
  3. Step 3: Cross multiply
    50,199.75x = 104,557.50 × 104,557.50
  4. Step 4: Simplify right side
    50,199.75x = 10,932,270,806.25
  5. Step 5: Solve for x
    x = 10,932,270,806.25/50,199.75
  6. Step 6: Final answer
    x = 217,775.40

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.