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Finding the Third Proportional to 179,701,514 and 256,797,627

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Solution

The third proportional to 179,701,514 and 256,797,627 is: 366,969,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,701,514 : 256,797,627 = 256,797,627 : x
  2. Step 2: Convert to fraction form
    179,701,514/256,797,627 = 256,797,627/x
  3. Step 3: Cross multiply
    179,701,514x = 256,797,627 × 256,797,627
  4. Step 4: Simplify right side
    179,701,514x = 65,945,021,232,831,128
  5. Step 5: Solve for x
    x = 65,945,021,232,831,128/179,701,514
  6. Step 6: Final answer
    x = 366,969,758.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.