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Finding the Third Proportional to 104,096 and 223,983.50

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Solution

The third proportional to 104,096 and 223,983.50 is: 481,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,096 : 223,983.50 = 223,983.50 : x
  2. Step 2: Convert to fraction form
    104,096/223,983.50 = 223,983.50/x
  3. Step 3: Cross multiply
    104,096x = 223,983.50 × 223,983.50
  4. Step 4: Simplify right side
    104,096x = 50,168,608,272.25
  5. Step 5: Solve for x
    x = 50,168,608,272.25/104,096
  6. Step 6: Final answer
    x = 481,945.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.