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Finding the Third Proportional to 105,507.56 and 244,040.34

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Solution

The third proportional to 105,507.56 and 244,040.34 is: 564,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,507.56 : 244,040.34 = 244,040.34 : x
  2. Step 2: Convert to fraction form
    105,507.56/244,040.34 = 244,040.34/x
  3. Step 3: Cross multiply
    105,507.56x = 244,040.34 × 244,040.34
  4. Step 4: Simplify right side
    105,507.56x = 59,555,689,377.62
  5. Step 5: Solve for x
    x = 59,555,689,377.62/105,507.56
  6. Step 6: Final answer
    x = 564,468.44

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.