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Finding the Third Proportional to 150,009,078 and 225,413,016

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Solution

The third proportional to 150,009,078 and 225,413,016 is: 338,719,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009,078 : 225,413,016 = 225,413,016 : x
  2. Step 2: Convert to fraction form
    150,009,078/225,413,016 = 225,413,016/x
  3. Step 3: Cross multiply
    150,009,078x = 225,413,016 × 225,413,016
  4. Step 4: Simplify right side
    150,009,078x = 50,811,027,782,216,256
  5. Step 5: Solve for x
    x = 50,811,027,782,216,256/150,009,078
  6. Step 6: Final answer
    x = 338,719,685.90

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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.