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Finding the Third Proportional to 177,861,867 and 385,409,514

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Solution

The third proportional to 177,861,867 and 385,409,514 is: 835,145,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,861,867 : 385,409,514 = 385,409,514 : x
  2. Step 2: Convert to fraction form
    177,861,867/385,409,514 = 385,409,514/x
  3. Step 3: Cross multiply
    177,861,867x = 385,409,514 × 385,409,514
  4. Step 4: Simplify right side
    177,861,867x = 148,540,493,481,716,192
  5. Step 5: Solve for x
    x = 148,540,493,481,716,192/177,861,867
  6. Step 6: Final answer
    x = 835,145,250.57

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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.