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Finding the Third Proportional to 178,224,162 and 283,589,685

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Solution

The third proportional to 178,224,162 and 283,589,685 is: 451,246,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,224,162 : 283,589,685 = 283,589,685 : x
  2. Step 2: Convert to fraction form
    178,224,162/283,589,685 = 283,589,685/x
  3. Step 3: Cross multiply
    178,224,162x = 283,589,685 × 283,589,685
  4. Step 4: Simplify right side
    178,224,162x = 80,423,109,438,399,232
  5. Step 5: Solve for x
    x = 80,423,109,438,399,232/178,224,162
  6. Step 6: Final answer
    x = 451,246,949.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.