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Finding the Third Proportional to 95,963 and 202,997

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Solution

The third proportional to 95,963 and 202,997 is: 429,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,963 : 202,997 = 202,997 : x
  2. Step 2: Convert to fraction form
    95,963/202,997 = 202,997/x
  3. Step 3: Cross multiply
    95,963x = 202,997 × 202,997
  4. Step 4: Simplify right side
    95,963x = 41,207,782,009
  5. Step 5: Solve for x
    x = 41,207,782,009/95,963
  6. Step 6: Final answer
    x = 429,413.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.