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Finding the Third Proportional to 45,233.44 and 98,121.38

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Solution

The third proportional to 45,233.44 and 98,121.38 is: 212,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,233.44 : 98,121.38 = 98,121.38 : x
  2. Step 2: Convert to fraction form
    45,233.44/98,121.38 = 98,121.38/x
  3. Step 3: Cross multiply
    45,233.44x = 98,121.38 × 98,121.38
  4. Step 4: Simplify right side
    45,233.44x = 9,627,804,231.89
  5. Step 5: Solve for x
    x = 9,627,804,231.89/45,233.44
  6. Step 6: Final answer
    x = 212,847.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.