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Finding the Third Proportional to 109,321,968 and 167,636,847

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Solution

The third proportional to 109,321,968 and 167,636,847 is: 257,058,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,321,968 : 167,636,847 = 167,636,847 : x
  2. Step 2: Convert to fraction form
    109,321,968/167,636,847 = 167,636,847/x
  3. Step 3: Cross multiply
    109,321,968x = 167,636,847 × 167,636,847
  4. Step 4: Simplify right side
    109,321,968x = 28,102,112,472,101,408
  5. Step 5: Solve for x
    x = 28,102,112,472,101,408/109,321,968
  6. Step 6: Final answer
    x = 257,058,238.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.