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Finding the Third Proportional to 179,701,614 and 256,797,765

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Solution

The third proportional to 179,701,614 and 256,797,765 is: 366,969,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,701,614 : 256,797,765 = 256,797,765 : x
  2. Step 2: Convert to fraction form
    179,701,614/256,797,765 = 256,797,765/x
  3. Step 3: Cross multiply
    179,701,614x = 256,797,765 × 256,797,765
  4. Step 4: Simplify right side
    179,701,614x = 65,945,092,108,995,224
  5. Step 5: Solve for x
    x = 65,945,092,108,995,224/179,701,614
  6. Step 6: Final answer
    x = 366,969,948.91

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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.