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Finding the Third Proportional to 131,944,897 and 178,995,211

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Solution

The third proportional to 131,944,897 and 178,995,211 is: 242,823,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,944,897 : 178,995,211 = 178,995,211 : x
  2. Step 2: Convert to fraction form
    131,944,897/178,995,211 = 178,995,211/x
  3. Step 3: Cross multiply
    131,944,897x = 178,995,211 × 178,995,211
  4. Step 4: Simplify right side
    131,944,897x = 32,039,285,560,934,520
  5. Step 5: Solve for x
    x = 32,039,285,560,934,520/131,944,897
  6. Step 6: Final answer
    x = 242,823,226.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.