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Finding the Third Proportional to 166,375,953 and 359,058,240

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Solution

The third proportional to 166,375,953 and 359,058,240 is: 774,888,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,375,953 : 359,058,240 = 359,058,240 : x
  2. Step 2: Convert to fraction form
    166,375,953/359,058,240 = 359,058,240/x
  3. Step 3: Cross multiply
    166,375,953x = 359,058,240 × 359,058,240
  4. Step 4: Simplify right side
    166,375,953x = 128,922,819,711,897,600
  5. Step 5: Solve for x
    x = 128,922,819,711,897,600/166,375,953
  6. Step 6: Final answer
    x = 774,888,542.41

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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.