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Finding the Third Proportional to 192,192.75 and 408,035.81

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Solution

The third proportional to 192,192.75 and 408,035.81 is: 866,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,192.75 : 408,035.81 = 408,035.81 : x
  2. Step 2: Convert to fraction form
    192,192.75/408,035.81 = 408,035.81/x
  3. Step 3: Cross multiply
    192,192.75x = 408,035.81 × 408,035.81
  4. Step 4: Simplify right side
    192,192.75x = 166,493,224,282.54
  5. Step 5: Solve for x
    x = 166,493,224,282.54/192,192.75
  6. Step 6: Final answer
    x = 866,282.54

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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.