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Finding the Third Proportional to 104,452.03 and 221,410.97

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Solution

The third proportional to 104,452.03 and 221,410.97 is: 469,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,452.03 : 221,410.97 = 221,410.97 : x
  2. Step 2: Convert to fraction form
    104,452.03/221,410.97 = 221,410.97/x
  3. Step 3: Cross multiply
    104,452.03x = 221,410.97 × 221,410.97
  4. Step 4: Simplify right side
    104,452.03x = 49,022,817,082.81
  5. Step 5: Solve for x
    x = 49,022,817,082.81/104,452.03
  6. Step 6: Final answer
    x = 469,333.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.