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Finding the Third Proportional to 226,377,248 and 485,028,736

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Solution

The third proportional to 226,377,248 and 485,028,736 is: 1,039,207,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,377,248 : 485,028,736 = 485,028,736 : x
  2. Step 2: Convert to fraction form
    226,377,248/485,028,736 = 485,028,736/x
  3. Step 3: Cross multiply
    226,377,248x = 485,028,736 × 485,028,736
  4. Step 4: Simplify right side
    226,377,248x = 235,252,874,745,757,696
  5. Step 5: Solve for x
    x = 235,252,874,745,757,696/226,377,248
  6. Step 6: Final answer
    x = 1,039,207,238.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.