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Finding the Third Proportional to 226,366,596 and 485,003,488

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Solution

The third proportional to 226,366,596 and 485,003,488 is: 1,039,147,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,366,596 : 485,003,488 = 485,003,488 : x
  2. Step 2: Convert to fraction form
    226,366,596/485,003,488 = 485,003,488/x
  3. Step 3: Cross multiply
    226,366,596x = 485,003,488 × 485,003,488
  4. Step 4: Simplify right side
    226,366,596x = 235,228,383,372,166,144
  5. Step 5: Solve for x
    x = 235,228,383,372,166,144/226,366,596
  6. Step 6: Final answer
    x = 1,039,147,946.42

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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.