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Finding the Third Proportional to 227,309,704.88 and 490,993,583.63

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Solution

The third proportional to 227,309,704.88 and 490,993,583.63 is: 1,060,556,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,309,704.88 : 490,993,583.63 = 490,993,583.63 : x
  2. Step 2: Convert to fraction form
    227,309,704.88/490,993,583.63 = 490,993,583.63/x
  3. Step 3: Cross multiply
    227,309,704.88x = 490,993,583.63 × 490,993,583.63
  4. Step 4: Simplify right side
    227,309,704.88x = 241,074,699,160,919,872
  5. Step 5: Solve for x
    x = 241,074,699,160,919,872/227,309,704.88
  6. Step 6: Final answer
    x = 1,060,556,122.29

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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.