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Finding the Third Proportional to 43,824 and 97,856

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Solution

The third proportional to 43,824 and 97,856 is: 218,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,824 : 97,856 = 97,856 : x
  2. Step 2: Convert to fraction form
    43,824/97,856 = 97,856/x
  3. Step 3: Cross multiply
    43,824x = 97,856 × 97,856
  4. Step 4: Simplify right side
    43,824x = 9,575,796,736
  5. Step 5: Solve for x
    x = 9,575,796,736/43,824
  6. Step 6: Final answer
    x = 218,505.77

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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.