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Finding the Third Proportional to 204,023,194.50 and 442,685,544.50

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Solution

The third proportional to 204,023,194.50 and 442,685,544.50 is: 960,530,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023,194.50 : 442,685,544.50 = 442,685,544.50 : x
  2. Step 2: Convert to fraction form
    204,023,194.50/442,685,544.50 = 442,685,544.50/x
  3. Step 3: Cross multiply
    204,023,194.50x = 442,685,544.50 × 442,685,544.50
  4. Step 4: Simplify right side
    204,023,194.50x = 195,970,491,309,261,472
  5. Step 5: Solve for x
    x = 195,970,491,309,261,472/204,023,194.50
  6. Step 6: Final answer
    x = 960,530,452.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.