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Finding the Third Proportional to 230,340,839 and 353,210,003

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Solution

The third proportional to 230,340,839 and 353,210,003 is: 541,620,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,340,839 : 353,210,003 = 353,210,003 : x
  2. Step 2: Convert to fraction form
    230,340,839/353,210,003 = 353,210,003/x
  3. Step 3: Cross multiply
    230,340,839x = 353,210,003 × 353,210,003
  4. Step 4: Simplify right side
    230,340,839x = 124,757,306,219,260,016
  5. Step 5: Solve for x
    x = 124,757,306,219,260,016/230,340,839
  6. Step 6: Final answer
    x = 541,620,438.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.