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Finding the Third Proportional to 226,367,441 and 485,005,162

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Solution

The third proportional to 226,367,441 and 485,005,162 is: 1,039,151,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,367,441 : 485,005,162 = 485,005,162 : x
  2. Step 2: Convert to fraction form
    226,367,441/485,005,162 = 485,005,162/x
  3. Step 3: Cross multiply
    226,367,441x = 485,005,162 × 485,005,162
  4. Step 4: Simplify right side
    226,367,441x = 235,230,007,166,646,240
  5. Step 5: Solve for x
    x = 235,230,007,166,646,240/226,367,441
  6. Step 6: Final answer
    x = 1,039,151,240.69

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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.