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Finding the Third Proportional to 43,828 and 96,392

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Solution

The third proportional to 43,828 and 96,392 is: 211,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,828 : 96,392 = 96,392 : x
  2. Step 2: Convert to fraction form
    43,828/96,392 = 96,392/x
  3. Step 3: Cross multiply
    43,828x = 96,392 × 96,392
  4. Step 4: Simplify right side
    43,828x = 9,291,417,664
  5. Step 5: Solve for x
    x = 9,291,417,664/43,828
  6. Step 6: Final answer
    x = 211,997.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.