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Finding the Third Proportional to 95,816 and 203,728

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Solution

The third proportional to 95,816 and 203,728 is: 433,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,816 : 203,728 = 203,728 : x
  2. Step 2: Convert to fraction form
    95,816/203,728 = 203,728/x
  3. Step 3: Cross multiply
    95,816x = 203,728 × 203,728
  4. Step 4: Simplify right side
    95,816x = 41,505,097,984
  5. Step 5: Solve for x
    x = 41,505,097,984/95,816
  6. Step 6: Final answer
    x = 433,175.02

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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.