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Finding the Third Proportional to 204,022,994 and 442,685,144

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Solution

The third proportional to 204,022,994 and 442,685,144 is: 960,529,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,022,994 : 442,685,144 = 442,685,144 : x
  2. Step 2: Convert to fraction form
    204,022,994/442,685,144 = 442,685,144/x
  3. Step 3: Cross multiply
    204,022,994x = 442,685,144 × 442,685,144
  4. Step 4: Simplify right side
    204,022,994x = 195,970,136,718,300,736
  5. Step 5: Solve for x
    x = 195,970,136,718,300,736/204,022,994
  6. Step 6: Final answer
    x = 960,529,658.33

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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.