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Finding the Third Proportional to 71,197.10 and 151,928.16

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Solution

The third proportional to 71,197.10 and 151,928.16 is: 324,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,197.10 : 151,928.16 = 151,928.16 : x
  2. Step 2: Convert to fraction form
    71,197.10/151,928.16 = 151,928.16/x
  3. Step 3: Cross multiply
    71,197.10x = 151,928.16 × 151,928.16
  4. Step 4: Simplify right side
    71,197.10x = 23,082,164,661.52
  5. Step 5: Solve for x
    x = 23,082,164,661.52/71,197.10
  6. Step 6: Final answer
    x = 324,200.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.