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Finding the Third Proportional to 96,576.75 and 208,395.75

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Solution

The third proportional to 96,576.75 and 208,395.75 is: 449,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,576.75 : 208,395.75 = 208,395.75 : x
  2. Step 2: Convert to fraction form
    96,576.75/208,395.75 = 208,395.75/x
  3. Step 3: Cross multiply
    96,576.75x = 208,395.75 × 208,395.75
  4. Step 4: Simplify right side
    96,576.75x = 43,428,788,618.06
  5. Step 5: Solve for x
    x = 43,428,788,618.06/96,576.75
  6. Step 6: Final answer
    x = 449,681.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.