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Finding the Third Proportional to 98,885.25 and 204,775.50

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Solution

The third proportional to 98,885.25 and 204,775.50 is: 424,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,885.25 : 204,775.50 = 204,775.50 : x
  2. Step 2: Convert to fraction form
    98,885.25/204,775.50 = 204,775.50/x
  3. Step 3: Cross multiply
    98,885.25x = 204,775.50 × 204,775.50
  4. Step 4: Simplify right side
    98,885.25x = 41,933,005,400.25
  5. Step 5: Solve for x
    x = 41,933,005,400.25/98,885.25
  6. Step 6: Final answer
    x = 424,057.23

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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.