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Finding the Third Proportional to 150,009,146 and 225,413,116

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Solution

The third proportional to 150,009,146 and 225,413,116 is: 338,719,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009,146 : 225,413,116 = 225,413,116 : x
  2. Step 2: Convert to fraction form
    150,009,146/225,413,116 = 225,413,116/x
  3. Step 3: Cross multiply
    150,009,146x = 225,413,116 × 225,413,116
  4. Step 4: Simplify right side
    150,009,146x = 50,811,072,864,829,456
  5. Step 5: Solve for x
    x = 50,811,072,864,829,456/150,009,146
  6. Step 6: Final answer
    x = 338,719,832.89

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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.