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Finding the Third Proportional to 93,686 and 202,327

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Solution

The third proportional to 93,686 and 202,327 is: 436,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,686 : 202,327 = 202,327 : x
  2. Step 2: Convert to fraction form
    93,686/202,327 = 202,327/x
  3. Step 3: Cross multiply
    93,686x = 202,327 × 202,327
  4. Step 4: Simplify right side
    93,686x = 40,936,214,929
  5. Step 5: Solve for x
    x = 40,936,214,929/93,686
  6. Step 6: Final answer
    x = 436,951.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.