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Finding the Third Proportional to 104,741,872 and 227,613,700

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Solution

The third proportional to 104,741,872 and 227,613,700 is: 494,625,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,741,872 : 227,613,700 = 227,613,700 : x
  2. Step 2: Convert to fraction form
    104,741,872/227,613,700 = 227,613,700/x
  3. Step 3: Cross multiply
    104,741,872x = 227,613,700 × 227,613,700
  4. Step 4: Simplify right side
    104,741,872x = 51,807,996,427,690,000
  5. Step 5: Solve for x
    x = 51,807,996,427,690,000/104,741,872
  6. Step 6: Final answer
    x = 494,625,458.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.