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Finding the Third Proportional to 123,099.75 and 283,621.50

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Solution

The third proportional to 123,099.75 and 283,621.50 is: 653,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,099.75 : 283,621.50 = 283,621.50 : x
  2. Step 2: Convert to fraction form
    123,099.75/283,621.50 = 283,621.50/x
  3. Step 3: Cross multiply
    123,099.75x = 283,621.50 × 283,621.50
  4. Step 4: Simplify right side
    123,099.75x = 80,441,155,262.25
  5. Step 5: Solve for x
    x = 80,441,155,262.25/123,099.75
  6. Step 6: Final answer
    x = 653,463.19

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.