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Finding the Third Proportional to 104,047.25 and 223,886

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Solution

The third proportional to 104,047.25 and 223,886 is: 481,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,047.25 : 223,886 = 223,886 : x
  2. Step 2: Convert to fraction form
    104,047.25/223,886 = 223,886/x
  3. Step 3: Cross multiply
    104,047.25x = 223,886 × 223,886
  4. Step 4: Simplify right side
    104,047.25x = 50,124,940,996
  5. Step 5: Solve for x
    x = 50,124,940,996/104,047.25
  6. Step 6: Final answer
    x = 481,751.71

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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.