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Finding the Third Proportional to 150,009,840 and 225,414,216

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Solution

The third proportional to 150,009,840 and 225,414,216 is: 338,721,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009,840 : 225,414,216 = 225,414,216 : x
  2. Step 2: Convert to fraction form
    150,009,840/225,414,216 = 225,414,216/x
  3. Step 3: Cross multiply
    150,009,840x = 225,414,216 × 225,414,216
  4. Step 4: Simplify right side
    150,009,840x = 50,811,568,774,894,656
  5. Step 5: Solve for x
    x = 50,811,568,774,894,656/150,009,840
  6. Step 6: Final answer
    x = 338,721,571.70

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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.