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Finding the Third Proportional to 104,982 and 223,978

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Solution

The third proportional to 104,982 and 223,978 is: 477,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,982 : 223,978 = 223,978 : x
  2. Step 2: Convert to fraction form
    104,982/223,978 = 223,978/x
  3. Step 3: Cross multiply
    104,982x = 223,978 × 223,978
  4. Step 4: Simplify right side
    104,982x = 50,166,144,484
  5. Step 5: Solve for x
    x = 50,166,144,484/104,982
  6. Step 6: Final answer
    x = 477,854.72

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.