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Finding the Third Proportional to 166,928,313 and 356,829,357

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Solution

The third proportional to 166,928,313 and 356,829,357 is: 762,765,691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,928,313 : 356,829,357 = 356,829,357 : x
  2. Step 2: Convert to fraction form
    166,928,313/356,829,357 = 356,829,357/x
  3. Step 3: Cross multiply
    166,928,313x = 356,829,357 × 356,829,357
  4. Step 4: Simplify right side
    166,928,313x = 127,327,190,017,033,456
  5. Step 5: Solve for x
    x = 127,327,190,017,033,456/166,928,313
  6. Step 6: Final answer
    x = 762,765,691.02

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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.