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Finding the Third Proportional to 98,081.75 and 207,933

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Solution

The third proportional to 98,081.75 and 207,933 is: 440,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,081.75 : 207,933 = 207,933 : x
  2. Step 2: Convert to fraction form
    98,081.75/207,933 = 207,933/x
  3. Step 3: Cross multiply
    98,081.75x = 207,933 × 207,933
  4. Step 4: Simplify right side
    98,081.75x = 43,236,132,489
  5. Step 5: Solve for x
    x = 43,236,132,489/98,081.75
  6. Step 6: Final answer
    x = 440,817.30

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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.