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Finding the Third Proportional to 135,099.75 and 293,982.75

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Solution

The third proportional to 135,099.75 and 293,982.75 is: 639,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,099.75 : 293,982.75 = 293,982.75 : x
  2. Step 2: Convert to fraction form
    135,099.75/293,982.75 = 293,982.75/x
  3. Step 3: Cross multiply
    135,099.75x = 293,982.75 × 293,982.75
  4. Step 4: Simplify right side
    135,099.75x = 86,425,857,297.56
  5. Step 5: Solve for x
    x = 86,425,857,297.56/135,099.75
  6. Step 6: Final answer
    x = 639,718.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.