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Finding the Third Proportional to 150,009,852 and 225,414,234

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Solution

The third proportional to 150,009,852 and 225,414,234 is: 338,721,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009,852 : 225,414,234 = 225,414,234 : x
  2. Step 2: Convert to fraction form
    150,009,852/225,414,234 = 225,414,234/x
  3. Step 3: Cross multiply
    150,009,852x = 225,414,234 × 225,414,234
  4. Step 4: Simplify right side
    150,009,852x = 50,811,576,889,806,752
  5. Step 5: Solve for x
    x = 50,811,576,889,806,752/150,009,852
  6. Step 6: Final answer
    x = 338,721,598.70

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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.