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Finding the Third Proportional to 102,062.44 and 221,651.25

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Solution

The third proportional to 102,062.44 and 221,651.25 is: 481,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,062.44 : 221,651.25 = 221,651.25 : x
  2. Step 2: Convert to fraction form
    102,062.44/221,651.25 = 221,651.25/x
  3. Step 3: Cross multiply
    102,062.44x = 221,651.25 × 221,651.25
  4. Step 4: Simplify right side
    102,062.44x = 49,129,276,626.56
  5. Step 5: Solve for x
    x = 49,129,276,626.56/102,062.44
  6. Step 6: Final answer
    x = 481,364.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.