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Finding the Third Proportional to 96,704 and 203,200

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Solution

The third proportional to 96,704 and 203,200 is: 426,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,704 : 203,200 = 203,200 : x
  2. Step 2: Convert to fraction form
    96,704/203,200 = 203,200/x
  3. Step 3: Cross multiply
    96,704x = 203,200 × 203,200
  4. Step 4: Simplify right side
    96,704x = 41,290,240,000
  5. Step 5: Solve for x
    x = 41,290,240,000/96,704
  6. Step 6: Final answer
    x = 426,975.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.