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Finding the Third Proportional to 117,215,750 and 237,744,012

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Solution

The third proportional to 117,215,750 and 237,744,012 is: 482,206,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,215,750 : 237,744,012 = 237,744,012 : x
  2. Step 2: Convert to fraction form
    117,215,750/237,744,012 = 237,744,012/x
  3. Step 3: Cross multiply
    117,215,750x = 237,744,012 × 237,744,012
  4. Step 4: Simplify right side
    117,215,750x = 56,522,215,241,856,144
  5. Step 5: Solve for x
    x = 56,522,215,241,856,144/117,215,750
  6. Step 6: Final answer
    x = 482,206,659.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.