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Finding the Third Proportional to 68,528,144 and 149,613,913

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Solution

The third proportional to 68,528,144 and 149,613,913 is: 326,644,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,528,144 : 149,613,913 = 149,613,913 : x
  2. Step 2: Convert to fraction form
    68,528,144/149,613,913 = 149,613,913/x
  3. Step 3: Cross multiply
    68,528,144x = 149,613,913 × 149,613,913
  4. Step 4: Simplify right side
    68,528,144x = 22,384,322,963,171,568
  5. Step 5: Solve for x
    x = 22,384,322,963,171,568/68,528,144
  6. Step 6: Final answer
    x = 326,644,231.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.