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Finding the Third Proportional to 43,838 and 96,019

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Solution

The third proportional to 43,838 and 96,019 is: 210,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,838 : 96,019 = 96,019 : x
  2. Step 2: Convert to fraction form
    43,838/96,019 = 96,019/x
  3. Step 3: Cross multiply
    43,838x = 96,019 × 96,019
  4. Step 4: Simplify right side
    43,838x = 9,219,648,361
  5. Step 5: Solve for x
    x = 9,219,648,361/43,838
  6. Step 6: Final answer
    x = 210,311.79

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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.