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Finding the Third Proportional to 43,822 and 97,852

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Solution

The third proportional to 43,822 and 97,852 is: 218,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,822 : 97,852 = 97,852 : x
  2. Step 2: Convert to fraction form
    43,822/97,852 = 97,852/x
  3. Step 3: Cross multiply
    43,822x = 97,852 × 97,852
  4. Step 4: Simplify right side
    43,822x = 9,575,013,904
  5. Step 5: Solve for x
    x = 9,575,013,904/43,822
  6. Step 6: Final answer
    x = 218,497.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.