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Finding the Third Proportional to 98,286.75 and 231,028.88

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Solution

The third proportional to 98,286.75 and 231,028.88 is: 543,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,286.75 : 231,028.88 = 231,028.88 : x
  2. Step 2: Convert to fraction form
    98,286.75/231,028.88 = 231,028.88/x
  3. Step 3: Cross multiply
    98,286.75x = 231,028.88 × 231,028.88
  4. Step 4: Simplify right side
    98,286.75x = 53,374,341,083.77
  5. Step 5: Solve for x
    x = 53,374,341,083.77/98,286.75
  6. Step 6: Final answer
    x = 543,047.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.