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Finding the Third Proportional to 44,452.88 and 96,894.38

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Solution

The third proportional to 44,452.88 and 96,894.38 is: 211,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,452.88 : 96,894.38 = 96,894.38 : x
  2. Step 2: Convert to fraction form
    44,452.88/96,894.38 = 96,894.38/x
  3. Step 3: Cross multiply
    44,452.88x = 96,894.38 × 96,894.38
  4. Step 4: Simplify right side
    44,452.88x = 9,388,519,906.64
  5. Step 5: Solve for x
    x = 9,388,519,906.64/44,452.88
  6. Step 6: Final answer
    x = 211,201.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.