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Finding the Third Proportional to 178,980,296 and 276,131,449

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Solution

The third proportional to 178,980,296 and 276,131,449 is: 426,016,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,980,296 : 276,131,449 = 276,131,449 : x
  2. Step 2: Convert to fraction form
    178,980,296/276,131,449 = 276,131,449/x
  3. Step 3: Cross multiply
    178,980,296x = 276,131,449 × 276,131,449
  4. Step 4: Simplify right side
    178,980,296x = 76,248,577,126,839,600
  5. Step 5: Solve for x
    x = 76,248,577,126,839,600/178,980,296
  6. Step 6: Final answer
    x = 426,016,599.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.