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Finding the Third Proportional to 150,010,102 and 225,414,555

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Solution

The third proportional to 150,010,102 and 225,414,555 is: 338,721,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,010,102 : 225,414,555 = 225,414,555 : x
  2. Step 2: Convert to fraction form
    150,010,102/225,414,555 = 225,414,555/x
  3. Step 3: Cross multiply
    150,010,102x = 225,414,555 × 225,414,555
  4. Step 4: Simplify right side
    150,010,102x = 50,811,721,605,848,024
  5. Step 5: Solve for x
    x = 50,811,721,605,848,024/150,010,102
  6. Step 6: Final answer
    x = 338,721,998.91

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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.