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Finding the Third Proportional to 178,224,057 and 283,589,505

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Solution

The third proportional to 178,224,057 and 283,589,505 is: 451,246,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,224,057 : 283,589,505 = 283,589,505 : x
  2. Step 2: Convert to fraction form
    178,224,057/283,589,505 = 283,589,505/x
  3. Step 3: Cross multiply
    178,224,057x = 283,589,505 × 283,589,505
  4. Step 4: Simplify right side
    178,224,057x = 80,423,007,346,145,024
  5. Step 5: Solve for x
    x = 80,423,007,346,145,024/178,224,057
  6. Step 6: Final answer
    x = 451,246,642.57

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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.