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Finding the Third Proportional to 98,882.44 and 204,774.19

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Solution

The third proportional to 98,882.44 and 204,774.19 is: 424,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,882.44 : 204,774.19 = 204,774.19 : x
  2. Step 2: Convert to fraction form
    98,882.44/204,774.19 = 204,774.19/x
  3. Step 3: Cross multiply
    98,882.44x = 204,774.19 × 204,774.19
  4. Step 4: Simplify right side
    98,882.44x = 41,932,467,866.29
  5. Step 5: Solve for x
    x = 41,932,467,866.29/98,882.44
  6. Step 6: Final answer
    x = 424,063.86

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.