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Finding the Third Proportional to 98,921.25 and 219,996

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Solution

The third proportional to 98,921.25 and 219,996 is: 489,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,921.25 : 219,996 = 219,996 : x
  2. Step 2: Convert to fraction form
    98,921.25/219,996 = 219,996/x
  3. Step 3: Cross multiply
    98,921.25x = 219,996 × 219,996
  4. Step 4: Simplify right side
    98,921.25x = 48,398,240,016
  5. Step 5: Solve for x
    x = 48,398,240,016/98,921.25
  6. Step 6: Final answer
    x = 489,260.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.