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Finding the Third Proportional to 68,528,144 and 149,613,912

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Solution

The third proportional to 68,528,144 and 149,613,912 is: 326,644,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,528,144 : 149,613,912 = 149,613,912 : x
  2. Step 2: Convert to fraction form
    68,528,144/149,613,912 = 149,613,912/x
  3. Step 3: Cross multiply
    68,528,144x = 149,613,912 × 149,613,912
  4. Step 4: Simplify right side
    68,528,144x = 22,384,322,663,943,744
  5. Step 5: Solve for x
    x = 22,384,322,663,943,744/68,528,144
  6. Step 6: Final answer
    x = 326,644,227.57

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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.