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Finding the Third Proportional to 104,094.50 and 223,976

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Solution

The third proportional to 104,094.50 and 223,976 is: 481,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,094.50 : 223,976 = 223,976 : x
  2. Step 2: Convert to fraction form
    104,094.50/223,976 = 223,976/x
  3. Step 3: Cross multiply
    104,094.50x = 223,976 × 223,976
  4. Step 4: Simplify right side
    104,094.50x = 50,165,248,576
  5. Step 5: Solve for x
    x = 50,165,248,576/104,094.50
  6. Step 6: Final answer
    x = 481,920.26

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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.