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Finding the Third Proportional to 99,711 and 149,227.31

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Solution

The third proportional to 99,711 and 149,227.31 is: 223,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,711 : 149,227.31 = 149,227.31 : x
  2. Step 2: Convert to fraction form
    99,711/149,227.31 = 149,227.31/x
  3. Step 3: Cross multiply
    99,711x = 149,227.31 × 149,227.31
  4. Step 4: Simplify right side
    99,711x = 22,268,790,795.97
  5. Step 5: Solve for x
    x = 22,268,790,795.97/99,711
  6. Step 6: Final answer
    x = 223,333.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.