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Finding the Third Proportional to 99,022.50 and 227,994.75

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Solution

The third proportional to 99,022.50 and 227,994.75 is: 524,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,022.50 : 227,994.75 = 227,994.75 : x
  2. Step 2: Convert to fraction form
    99,022.50/227,994.75 = 227,994.75/x
  3. Step 3: Cross multiply
    99,022.50x = 227,994.75 × 227,994.75
  4. Step 4: Simplify right side
    99,022.50x = 51,981,606,027.56
  5. Step 5: Solve for x
    x = 51,981,606,027.56/99,022.50
  6. Step 6: Final answer
    x = 524,947.42

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.