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Finding the Third Proportional to 112,181,165 and 172,324,000

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Solution

The third proportional to 112,181,165 and 172,324,000 is: 264,710,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,181,165 : 172,324,000 = 172,324,000 : x
  2. Step 2: Convert to fraction form
    112,181,165/172,324,000 = 172,324,000/x
  3. Step 3: Cross multiply
    112,181,165x = 172,324,000 × 172,324,000
  4. Step 4: Simplify right side
    112,181,165x = 29,695,560,976,000,000
  5. Step 5: Solve for x
    x = 29,695,560,976,000,000/112,181,165
  6. Step 6: Final answer
    x = 264,710,755.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.