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Finding the Third Proportional to 178,224,061 and 283,589,511

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Solution

The third proportional to 178,224,061 and 283,589,511 is: 451,246,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,224,061 : 283,589,511 = 283,589,511 : x
  2. Step 2: Convert to fraction form
    178,224,061/283,589,511 = 283,589,511/x
  3. Step 3: Cross multiply
    178,224,061x = 283,589,511 × 283,589,511
  4. Step 4: Simplify right side
    178,224,061x = 80,423,010,749,219,120
  5. Step 5: Solve for x
    x = 80,423,010,749,219,120/178,224,061
  6. Step 6: Final answer
    x = 451,246,651.53

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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.