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Finding the Third Proportional to 166,376,204 and 359,058,712

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Solution

The third proportional to 166,376,204 and 359,058,712 is: 774,889,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,376,204 : 359,058,712 = 359,058,712 : x
  2. Step 2: Convert to fraction form
    166,376,204/359,058,712 = 359,058,712/x
  3. Step 3: Cross multiply
    166,376,204x = 359,058,712 × 359,058,712
  4. Step 4: Simplify right side
    166,376,204x = 128,923,158,663,098,944
  5. Step 5: Solve for x
    x = 128,923,158,663,098,944/166,376,204
  6. Step 6: Final answer
    x = 774,889,410.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.