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Finding the Third Proportional to 104,190 and 223,911.75

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Solution

The third proportional to 104,190 and 223,911.75 is: 481,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,190 : 223,911.75 = 223,911.75 : x
  2. Step 2: Convert to fraction form
    104,190/223,911.75 = 223,911.75/x
  3. Step 3: Cross multiply
    104,190x = 223,911.75 × 223,911.75
  4. Step 4: Simplify right side
    104,190x = 50,136,471,788.06
  5. Step 5: Solve for x
    x = 50,136,471,788.06/104,190
  6. Step 6: Final answer
    x = 481,202.34

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Why These Related Problems?

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