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Finding the Third Proportional to 227,491,623.56 and 490,025,138.06

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Solution

The third proportional to 227,491,623.56 and 490,025,138.06 is: 1,055,531,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,491,623.56 : 490,025,138.06 = 490,025,138.06 : x
  2. Step 2: Convert to fraction form
    227,491,623.56/490,025,138.06 = 490,025,138.06/x
  3. Step 3: Cross multiply
    227,491,623.56x = 490,025,138.06 × 490,025,138.06
  4. Step 4: Simplify right side
    227,491,623.56x = 240,124,635,933,172,192
  5. Step 5: Solve for x
    x = 240,124,635,933,172,192/227,491,623.56
  6. Step 6: Final answer
    x = 1,055,531,769.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.