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Finding the Third Proportional to 75,150,096 and 160,141,692

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Solution

The third proportional to 75,150,096 and 160,141,692 is: 341,255,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,150,096 : 160,141,692 = 160,141,692 : x
  2. Step 2: Convert to fraction form
    75,150,096/160,141,692 = 160,141,692/x
  3. Step 3: Cross multiply
    75,150,096x = 160,141,692 × 160,141,692
  4. Step 4: Simplify right side
    75,150,096x = 25,645,361,516,622,864
  5. Step 5: Solve for x
    x = 25,645,361,516,622,864/75,150,096
  6. Step 6: Final answer
    x = 341,255,206.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.