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Finding the Third Proportional to 203,906,166.75 and 440,302,908.38

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Solution

The third proportional to 203,906,166.75 and 440,302,908.38 is: 950,764,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906,166.75 : 440,302,908.38 = 440,302,908.38 : x
  2. Step 2: Convert to fraction form
    203,906,166.75/440,302,908.38 = 440,302,908.38/x
  3. Step 3: Cross multiply
    203,906,166.75x = 440,302,908.38 × 440,302,908.38
  4. Step 4: Simplify right side
    203,906,166.75x = 193,866,651,123,483,648
  5. Step 5: Solve for x
    x = 193,866,651,123,483,648/203,906,166.75
  6. Step 6: Final answer
    x = 950,764,041.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.