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Finding the Third Proportional to 104,091.50 and 223,970

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Solution

The third proportional to 104,091.50 and 223,970 is: 481,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,091.50 : 223,970 = 223,970 : x
  2. Step 2: Convert to fraction form
    104,091.50/223,970 = 223,970/x
  3. Step 3: Cross multiply
    104,091.50x = 223,970 × 223,970
  4. Step 4: Simplify right side
    104,091.50x = 50,162,560,900
  5. Step 5: Solve for x
    x = 50,162,560,900/104,091.50
  6. Step 6: Final answer
    x = 481,908.33

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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.