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Finding the Third Proportional to 98,823.38 and 217,326.38

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Solution

The third proportional to 98,823.38 and 217,326.38 is: 477,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,823.38 : 217,326.38 = 217,326.38 : x
  2. Step 2: Convert to fraction form
    98,823.38/217,326.38 = 217,326.38/x
  3. Step 3: Cross multiply
    98,823.38x = 217,326.38 × 217,326.38
  4. Step 4: Simplify right side
    98,823.38x = 47,230,753,270.64
  5. Step 5: Solve for x
    x = 47,230,753,270.64/98,823.38
  6. Step 6: Final answer
    x = 477,930.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.