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Finding the Third Proportional to 166,150,359 and 257,934,213

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Solution

The third proportional to 166,150,359 and 257,934,213 is: 400,420,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,150,359 : 257,934,213 = 257,934,213 : x
  2. Step 2: Convert to fraction form
    166,150,359/257,934,213 = 257,934,213/x
  3. Step 3: Cross multiply
    166,150,359x = 257,934,213 × 257,934,213
  4. Step 4: Simplify right side
    166,150,359x = 66,530,058,235,929,368
  5. Step 5: Solve for x
    x = 66,530,058,235,929,368/166,150,359
  6. Step 6: Final answer
    x = 400,420,791.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.