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Finding the Third Proportional to 149,150,742 and 351,589,770

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Solution

The third proportional to 149,150,742 and 351,589,770 is: 828,794,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,150,742 : 351,589,770 = 351,589,770 : x
  2. Step 2: Convert to fraction form
    149,150,742/351,589,770 = 351,589,770/x
  3. Step 3: Cross multiply
    149,150,742x = 351,589,770 × 351,589,770
  4. Step 4: Simplify right side
    149,150,742x = 123,615,366,368,652,896
  5. Step 5: Solve for x
    x = 123,615,366,368,652,896/149,150,742
  6. Step 6: Final answer
    x = 828,794,846.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.