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Finding the Third Proportional to 96,816 and 203,616

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Solution

The third proportional to 96,816 and 203,616 is: 428,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,816 : 203,616 = 203,616 : x
  2. Step 2: Convert to fraction form
    96,816/203,616 = 203,616/x
  3. Step 3: Cross multiply
    96,816x = 203,616 × 203,616
  4. Step 4: Simplify right side
    96,816x = 41,459,475,456
  5. Step 5: Solve for x
    x = 41,459,475,456/96,816
  6. Step 6: Final answer
    x = 428,229.58

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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.