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Finding the Third Proportional to 75,132,086 and 113,289,384

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Solution

The third proportional to 75,132,086 and 113,289,384 is: 170,825,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132,086 : 113,289,384 = 113,289,384 : x
  2. Step 2: Convert to fraction form
    75,132,086/113,289,384 = 113,289,384/x
  3. Step 3: Cross multiply
    75,132,086x = 113,289,384 × 113,289,384
  4. Step 4: Simplify right side
    75,132,086x = 12,834,484,527,099,456
  5. Step 5: Solve for x
    x = 12,834,484,527,099,456/75,132,086
  6. Step 6: Final answer
    x = 170,825,611.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.