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Finding the Third Proportional to 166,928,296 and 356,829,324

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Solution

The third proportional to 166,928,296 and 356,829,324 is: 762,765,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,928,296 : 356,829,324 = 356,829,324 : x
  2. Step 2: Convert to fraction form
    166,928,296/356,829,324 = 356,829,324/x
  3. Step 3: Cross multiply
    166,928,296x = 356,829,324 × 356,829,324
  4. Step 4: Simplify right side
    166,928,296x = 127,327,166,466,296,976
  5. Step 5: Solve for x
    x = 127,327,166,466,296,976/166,928,296
  6. Step 6: Final answer
    x = 762,765,627.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.