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Finding the Third Proportional to 171,993,856 and 374,219,456

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Solution

The third proportional to 171,993,856 and 374,219,456 is: 814,216,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,993,856 : 374,219,456 = 374,219,456 : x
  2. Step 2: Convert to fraction form
    171,993,856/374,219,456 = 374,219,456/x
  3. Step 3: Cross multiply
    171,993,856x = 374,219,456 × 374,219,456
  4. Step 4: Simplify right side
    171,993,856x = 140,040,201,248,935,936
  5. Step 5: Solve for x
    x = 140,040,201,248,935,936/171,993,856
  6. Step 6: Final answer
    x = 814,216,301.13

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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.