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Finding the Third Proportional to 150,010,100 and 225,414,552

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Solution

The third proportional to 150,010,100 and 225,414,552 is: 338,721,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,010,100 : 225,414,552 = 225,414,552 : x
  2. Step 2: Convert to fraction form
    150,010,100/225,414,552 = 225,414,552/x
  3. Step 3: Cross multiply
    150,010,100x = 225,414,552 × 225,414,552
  4. Step 4: Simplify right side
    150,010,100x = 50,811,720,253,360,704
  5. Step 5: Solve for x
    x = 50,811,720,253,360,704/150,010,100
  6. Step 6: Final answer
    x = 338,721,994.41

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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.