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Finding the Third Proportional to 43,808 and 97,824

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Solution

The third proportional to 43,808 and 97,824 is: 218,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,808 : 97,824 = 97,824 : x
  2. Step 2: Convert to fraction form
    43,808/97,824 = 97,824/x
  3. Step 3: Cross multiply
    43,808x = 97,824 × 97,824
  4. Step 4: Simplify right side
    43,808x = 9,569,534,976
  5. Step 5: Solve for x
    x = 9,569,534,976/43,808
  6. Step 6: Final answer
    x = 218,442.64

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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.