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Finding the Third Proportional to 104,317.24 and 223,394.84

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Solution

The third proportional to 104,317.24 and 223,394.84 is: 478,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,317.24 : 223,394.84 = 223,394.84 : x
  2. Step 2: Convert to fraction form
    104,317.24/223,394.84 = 223,394.84/x
  3. Step 3: Cross multiply
    104,317.24x = 223,394.84 × 223,394.84
  4. Step 4: Simplify right side
    104,317.24x = 49,905,252,723.54
  5. Step 5: Solve for x
    x = 49,905,252,723.54/104,317.24
  6. Step 6: Final answer
    x = 478,398.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.