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Finding the Third Proportional to 178,224,138 and 283,589,646.75

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Solution

The third proportional to 178,224,138 and 283,589,646.75 is: 451,246,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,224,138 : 283,589,646.75 = 283,589,646.75 : x
  2. Step 2: Convert to fraction form
    178,224,138/283,589,646.75 = 283,589,646.75/x
  3. Step 3: Cross multiply
    178,224,138x = 283,589,646.75 × 283,589,646.75
  4. Step 4: Simplify right side
    178,224,138x = 80,423,087,743,789,792
  5. Step 5: Solve for x
    x = 80,423,087,743,789,792/178,224,138
  6. Step 6: Final answer
    x = 451,246,888.59

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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.