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Finding the Third Proportional to 178,224,069 and 283,589,523

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Solution

The third proportional to 178,224,069 and 283,589,523 is: 451,246,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,224,069 : 283,589,523 = 283,589,523 : x
  2. Step 2: Convert to fraction form
    178,224,069/283,589,523 = 283,589,523/x
  3. Step 3: Cross multiply
    178,224,069x = 283,589,523 × 283,589,523
  4. Step 4: Simplify right side
    178,224,069x = 80,423,017,555,367,536
  5. Step 5: Solve for x
    x = 80,423,017,555,367,536/178,224,069
  6. Step 6: Final answer
    x = 451,246,669.47

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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.