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Finding the Third Proportional to 112,181,448 and 172,324,380

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Solution

The third proportional to 112,181,448 and 172,324,380 is: 264,711,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,181,448 : 172,324,380 = 172,324,380 : x
  2. Step 2: Convert to fraction form
    112,181,448/172,324,380 = 172,324,380/x
  3. Step 3: Cross multiply
    112,181,448x = 172,324,380 × 172,324,380
  4. Step 4: Simplify right side
    112,181,448x = 29,695,691,942,384,400
  5. Step 5: Solve for x
    x = 29,695,691,942,384,400/112,181,448
  6. Step 6: Final answer
    x = 264,711,255.49

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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.