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Finding the Third Proportional to 43,899.75 and 96,161.63

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Solution

The third proportional to 43,899.75 and 96,161.63 is: 210,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,899.75 : 96,161.63 = 96,161.63 : x
  2. Step 2: Convert to fraction form
    43,899.75/96,161.63 = 96,161.63/x
  3. Step 3: Cross multiply
    43,899.75x = 96,161.63 × 96,161.63
  4. Step 4: Simplify right side
    43,899.75x = 9,247,058,122.64
  5. Step 5: Solve for x
    x = 9,247,058,122.64/43,899.75
  6. Step 6: Final answer
    x = 210,640.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.