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Finding the Third Proportional to 71,099.13 and 150,946.25

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Solution

The third proportional to 71,099.13 and 150,946.25 is: 320,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,099.13 : 150,946.25 = 150,946.25 : x
  2. Step 2: Convert to fraction form
    71,099.13/150,946.25 = 150,946.25/x
  3. Step 3: Cross multiply
    71,099.13x = 150,946.25 × 150,946.25
  4. Step 4: Simplify right side
    71,099.13x = 22,784,770,389.06
  5. Step 5: Solve for x
    x = 22,784,770,389.06/71,099.13
  6. Step 6: Final answer
    x = 320,464.85

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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.