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Finding the Third Proportional to 114,848,218 and 176,530,016

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Solution

The third proportional to 114,848,218 and 176,530,016 is: 271,339,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,218 : 176,530,016 = 176,530,016 : x
  2. Step 2: Convert to fraction form
    114,848,218/176,530,016 = 176,530,016/x
  3. Step 3: Cross multiply
    114,848,218x = 176,530,016 × 176,530,016
  4. Step 4: Simplify right side
    114,848,218x = 31,162,846,548,960,256
  5. Step 5: Solve for x
    x = 31,162,846,548,960,256/114,848,218
  6. Step 6: Final answer
    x = 271,339,399.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.