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Finding the Third Proportional to 204,022,993 and 442,685,142

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Solution

The third proportional to 204,022,993 and 442,685,142 is: 960,529,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,022,993 : 442,685,142 = 442,685,142 : x
  2. Step 2: Convert to fraction form
    204,022,993/442,685,142 = 442,685,142/x
  3. Step 3: Cross multiply
    204,022,993x = 442,685,142 × 442,685,142
  4. Step 4: Simplify right side
    204,022,993x = 195,970,134,947,560,160
  5. Step 5: Solve for x
    x = 195,970,134,947,560,160/204,022,993
  6. Step 6: Final answer
    x = 960,529,654.36

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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.