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Finding the Third Proportional to 204,022,984.50 and 442,685,127

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Solution

The third proportional to 204,022,984.50 and 442,685,127 is: 960,529,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,022,984.50 : 442,685,127 = 442,685,127 : x
  2. Step 2: Convert to fraction form
    204,022,984.50/442,685,127 = 442,685,127/x
  3. Step 3: Cross multiply
    204,022,984.50x = 442,685,127 × 442,685,127
  4. Step 4: Simplify right side
    204,022,984.50x = 195,970,121,667,006,144
  5. Step 5: Solve for x
    x = 195,970,121,667,006,144/204,022,984.50
  6. Step 6: Final answer
    x = 960,529,629.28

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