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Finding the Third Proportional to 178,224,185 and 283,589,724

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Solution

The third proportional to 178,224,185 and 283,589,724 is: 451,247,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,224,185 : 283,589,724 = 283,589,724 : x
  2. Step 2: Convert to fraction form
    178,224,185/283,589,724 = 283,589,724/x
  3. Step 3: Cross multiply
    178,224,185x = 283,589,724 × 283,589,724
  4. Step 4: Simplify right side
    178,224,185x = 80,423,131,558,396,176
  5. Step 5: Solve for x
    x = 80,423,131,558,396,176/178,224,185
  6. Step 6: Final answer
    x = 451,247,015.43

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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.