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Finding the Third Proportional to 110,195,775 and 159,296,193

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Solution

The third proportional to 110,195,775 and 159,296,193 is: 230,274,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,195,775 : 159,296,193 = 159,296,193 : x
  2. Step 2: Convert to fraction form
    110,195,775/159,296,193 = 159,296,193/x
  3. Step 3: Cross multiply
    110,195,775x = 159,296,193 × 159,296,193
  4. Step 4: Simplify right side
    110,195,775x = 25,375,277,104,293,248
  5. Step 5: Solve for x
    x = 25,375,277,104,293,248/110,195,775
  6. Step 6: Final answer
    x = 230,274,501.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.