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Finding the Third Proportional to 179,701,520 and 256,797,635

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Solution

The third proportional to 179,701,520 and 256,797,635 is: 366,969,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,701,520 : 256,797,635 = 256,797,635 : x
  2. Step 2: Convert to fraction form
    179,701,520/256,797,635 = 256,797,635/x
  3. Step 3: Cross multiply
    179,701,520x = 256,797,635 × 256,797,635
  4. Step 4: Simplify right side
    179,701,520x = 65,945,025,341,593,224
  5. Step 5: Solve for x
    x = 65,945,025,341,593,224/179,701,520
  6. Step 6: Final answer
    x = 366,969,769.32

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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.