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Finding the Third Proportional to 150,493,153.50 and 330,580,921.50

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Solution

The third proportional to 150,493,153.50 and 330,580,921.50 is: 726,170,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,493,153.50 : 330,580,921.50 = 330,580,921.50 : x
  2. Step 2: Convert to fraction form
    150,493,153.50/330,580,921.50 = 330,580,921.50/x
  3. Step 3: Cross multiply
    150,493,153.50x = 330,580,921.50 × 330,580,921.50
  4. Step 4: Simplify right side
    150,493,153.50x = 109,283,745,659,789,168
  5. Step 5: Solve for x
    x = 109,283,745,659,789,168/150,493,153.50
  6. Step 6: Final answer
    x = 726,170,879.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.