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Finding the Third Proportional to 166,167,414 and 361,593,608

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Solution

The third proportional to 166,167,414 and 361,593,608 is: 786,856,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,167,414 : 361,593,608 = 361,593,608 : x
  2. Step 2: Convert to fraction form
    166,167,414/361,593,608 = 361,593,608/x
  3. Step 3: Cross multiply
    166,167,414x = 361,593,608 × 361,593,608
  4. Step 4: Simplify right side
    166,167,414x = 130,749,937,346,457,664
  5. Step 5: Solve for x
    x = 130,749,937,346,457,664/166,167,414
  6. Step 6: Final answer
    x = 786,856,665.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.