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Finding the Third Proportional to 241,079,876 and 523,257,853

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Solution

The third proportional to 241,079,876 and 523,257,853 is: 1,135,718,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,079,876 : 523,257,853 = 523,257,853 : x
  2. Step 2: Convert to fraction form
    241,079,876/523,257,853 = 523,257,853/x
  3. Step 3: Cross multiply
    241,079,876x = 523,257,853 × 523,257,853
  4. Step 4: Simplify right side
    241,079,876x = 273,798,780,726,169,600
  5. Step 5: Solve for x
    x = 273,798,780,726,169,600/241,079,876
  6. Step 6: Final answer
    x = 1,135,718,108.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.