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Finding the Third Proportional to 227,437,872 and 491,190,150

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Solution

The third proportional to 227,437,872 and 491,190,150 is: 1,060,807,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,437,872 : 491,190,150 = 491,190,150 : x
  2. Step 2: Convert to fraction form
    227,437,872/491,190,150 = 491,190,150/x
  3. Step 3: Cross multiply
    227,437,872x = 491,190,150 × 491,190,150
  4. Step 4: Simplify right side
    227,437,872x = 241,267,763,457,022,496
  5. Step 5: Solve for x
    x = 241,267,763,457,022,496/227,437,872
  6. Step 6: Final answer
    x = 1,060,807,337.56

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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.