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Finding the Third Proportional to 179,708,204 and 256,807,694

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Solution

The third proportional to 179,708,204 and 256,807,694 is: 366,984,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,708,204 : 256,807,694 = 256,807,694 : x
  2. Step 2: Convert to fraction form
    179,708,204/256,807,694 = 256,807,694/x
  3. Step 3: Cross multiply
    179,708,204x = 256,807,694 × 256,807,694
  4. Step 4: Simplify right side
    179,708,204x = 65,950,191,697,597,632
  5. Step 5: Solve for x
    x = 65,950,191,697,597,632/179,708,204
  6. Step 6: Final answer
    x = 366,984,868.97

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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.