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Finding the Third Proportional to 175,726,224.50 and 365,997,204

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Solution

The third proportional to 175,726,224.50 and 365,997,204 is: 762,287,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,726,224.50 : 365,997,204 = 365,997,204 : x
  2. Step 2: Convert to fraction form
    175,726,224.50/365,997,204 = 365,997,204/x
  3. Step 3: Cross multiply
    175,726,224.50x = 365,997,204 × 365,997,204
  4. Step 4: Simplify right side
    175,726,224.50x = 133,953,953,335,817,616
  5. Step 5: Solve for x
    x = 133,953,953,335,817,616/175,726,224.50
  6. Step 6: Final answer
    x = 762,287,778.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.