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Finding the Third Proportional to 68,405,164 and 150,491,216

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Solution

The third proportional to 68,405,164 and 150,491,216 is: 331,080,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,405,164 : 150,491,216 = 150,491,216 : x
  2. Step 2: Convert to fraction form
    68,405,164/150,491,216 = 150,491,216/x
  3. Step 3: Cross multiply
    68,405,164x = 150,491,216 × 150,491,216
  4. Step 4: Simplify right side
    68,405,164x = 22,647,606,093,158,656
  5. Step 5: Solve for x
    x = 22,647,606,093,158,656/68,405,164
  6. Step 6: Final answer
    x = 331,080,356.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.