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Finding the Third Proportional to 104,091.19 and 223,969.88

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Solution

The third proportional to 104,091.19 and 223,969.88 is: 481,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,091.19 : 223,969.88 = 223,969.88 : x
  2. Step 2: Convert to fraction form
    104,091.19/223,969.88 = 223,969.88/x
  3. Step 3: Cross multiply
    104,091.19x = 223,969.88 × 223,969.88
  4. Step 4: Simplify right side
    104,091.19x = 50,162,504,907.52
  5. Step 5: Solve for x
    x = 50,162,504,907.52/104,091.19
  6. Step 6: Final answer
    x = 481,909.24

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Why These Related Problems?

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