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Finding the Third Proportional to 179,365,799 and 256,493,398

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Solution

The third proportional to 179,365,799 and 256,493,398 is: 366,785,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,365,799 : 256,493,398 = 256,493,398 : x
  2. Step 2: Convert to fraction form
    179,365,799/256,493,398 = 256,493,398/x
  3. Step 3: Cross multiply
    179,365,799x = 256,493,398 × 256,493,398
  4. Step 4: Simplify right side
    179,365,799x = 65,788,863,217,586,400
  5. Step 5: Solve for x
    x = 65,788,863,217,586,400/179,365,799
  6. Step 6: Final answer
    x = 366,785,995.91

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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.