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Finding the Third Proportional to 166,947,786 and 230,690,259

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Solution

The third proportional to 166,947,786 and 230,690,259 is: 318,770,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,947,786 : 230,690,259 = 230,690,259 : x
  2. Step 2: Convert to fraction form
    166,947,786/230,690,259 = 230,690,259/x
  3. Step 3: Cross multiply
    166,947,786x = 230,690,259 × 230,690,259
  4. Step 4: Simplify right side
    166,947,786x = 53,217,995,597,487,080
  5. Step 5: Solve for x
    x = 53,217,995,597,487,080/166,947,786
  6. Step 6: Final answer
    x = 318,770,298.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.