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Finding the Third Proportional to 150,009,150 and 225,413,122

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Solution

The third proportional to 150,009,150 and 225,413,122 is: 338,719,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009,150 : 225,413,122 = 225,413,122 : x
  2. Step 2: Convert to fraction form
    150,009,150/225,413,122 = 225,413,122/x
  3. Step 3: Cross multiply
    150,009,150x = 225,413,122 × 225,413,122
  4. Step 4: Simplify right side
    150,009,150x = 50,811,075,569,786,880
  5. Step 5: Solve for x
    x = 50,811,075,569,786,880/150,009,150
  6. Step 6: Final answer
    x = 338,719,841.89

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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.