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Finding the Third Proportional to 98,233.75 and 214,857

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Solution

The third proportional to 98,233.75 and 214,857 is: 469,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,233.75 : 214,857 = 214,857 : x
  2. Step 2: Convert to fraction form
    98,233.75/214,857 = 214,857/x
  3. Step 3: Cross multiply
    98,233.75x = 214,857 × 214,857
  4. Step 4: Simplify right side
    98,233.75x = 46,163,530,449
  5. Step 5: Solve for x
    x = 46,163,530,449/98,233.75
  6. Step 6: Final answer
    x = 469,935.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.