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Finding the Third Proportional to 182,901,888 and 394,519,680

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Solution

The third proportional to 182,901,888 and 394,519,680 is: 850,979,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,901,888 : 394,519,680 = 394,519,680 : x
  2. Step 2: Convert to fraction form
    182,901,888/394,519,680 = 394,519,680/x
  3. Step 3: Cross multiply
    182,901,888x = 394,519,680 × 394,519,680
  4. Step 4: Simplify right side
    182,901,888x = 155,645,777,907,302,400
  5. Step 5: Solve for x
    x = 155,645,777,907,302,400/182,901,888
  6. Step 6: Final answer
    x = 850,979,613.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.