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Finding the Third Proportional to 104,066 and 223,927

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Solution

The third proportional to 104,066 and 223,927 is: 481,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,066 : 223,927 = 223,927 : x
  2. Step 2: Convert to fraction form
    104,066/223,927 = 223,927/x
  3. Step 3: Cross multiply
    104,066x = 223,927 × 223,927
  4. Step 4: Simplify right side
    104,066x = 50,143,301,329
  5. Step 5: Solve for x
    x = 50,143,301,329/104,066
  6. Step 6: Final answer
    x = 481,841.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.