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Finding the Third Proportional to 99,091.25 and 214,327

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Solution

The third proportional to 99,091.25 and 214,327 is: 463,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,091.25 : 214,327 = 214,327 : x
  2. Step 2: Convert to fraction form
    99,091.25/214,327 = 214,327/x
  3. Step 3: Cross multiply
    99,091.25x = 214,327 × 214,327
  4. Step 4: Simplify right side
    99,091.25x = 45,936,062,929
  5. Step 5: Solve for x
    x = 45,936,062,929/99,091.25
  6. Step 6: Final answer
    x = 463,573.35

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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.