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Finding the Third Proportional to 161,906,296 and 248,707,872

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Solution

The third proportional to 161,906,296 and 248,707,872 is: 382,045,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,906,296 : 248,707,872 = 248,707,872 : x
  2. Step 2: Convert to fraction form
    161,906,296/248,707,872 = 248,707,872/x
  3. Step 3: Cross multiply
    161,906,296x = 248,707,872 × 248,707,872
  4. Step 4: Simplify right side
    161,906,296x = 61,855,605,594,768,384
  5. Step 5: Solve for x
    x = 61,855,605,594,768,384/161,906,296
  6. Step 6: Final answer
    x = 382,045,708.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.