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Finding the Third Proportional to 98,287.88 and 231,048

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Solution

The third proportional to 98,287.88 and 231,048 is: 543,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,287.88 : 231,048 = 231,048 : x
  2. Step 2: Convert to fraction form
    98,287.88/231,048 = 231,048/x
  3. Step 3: Cross multiply
    98,287.88x = 231,048 × 231,048
  4. Step 4: Simplify right side
    98,287.88x = 53,383,178,304
  5. Step 5: Solve for x
    x = 53,383,178,304/98,287.88
  6. Step 6: Final answer
    x = 543,130.86

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