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Finding the Third Proportional to 150,009,489 and 225,413,612

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Solution

The third proportional to 150,009,489 and 225,413,612 is: 338,720,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009,489 : 225,413,612 = 225,413,612 : x
  2. Step 2: Convert to fraction form
    150,009,489/225,413,612 = 225,413,612/x
  3. Step 3: Cross multiply
    150,009,489x = 225,413,612 × 225,413,612
  4. Step 4: Simplify right side
    150,009,489x = 50,811,296,474,886,544
  5. Step 5: Solve for x
    x = 50,811,296,474,886,544/150,009,489
  6. Step 6: Final answer
    x = 338,720,549.04

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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.