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Finding the Third Proportional to 100,878.75 and 227,745.75

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Solution

The third proportional to 100,878.75 and 227,745.75 is: 514,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,878.75 : 227,745.75 = 227,745.75 : x
  2. Step 2: Convert to fraction form
    100,878.75/227,745.75 = 227,745.75/x
  3. Step 3: Cross multiply
    100,878.75x = 227,745.75 × 227,745.75
  4. Step 4: Simplify right side
    100,878.75x = 51,868,126,643.06
  5. Step 5: Solve for x
    x = 51,868,126,643.06/100,878.75
  6. Step 6: Final answer
    x = 514,163.06

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.