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Finding the Third Proportional to 116,096.50 and 237,112.75

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Solution

The third proportional to 116,096.50 and 237,112.75 is: 484,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,096.50 : 237,112.75 = 237,112.75 : x
  2. Step 2: Convert to fraction form
    116,096.50/237,112.75 = 237,112.75/x
  3. Step 3: Cross multiply
    116,096.50x = 237,112.75 × 237,112.75
  4. Step 4: Simplify right side
    116,096.50x = 56,222,456,212.56
  5. Step 5: Solve for x
    x = 56,222,456,212.56/116,096.50
  6. Step 6: Final answer
    x = 484,273.48

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.