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Finding the Third Proportional to 172,181,944,872 and 242,364,462,238

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Solution

The third proportional to 172,181,944,872 and 242,364,462,238 is: 341,153,845,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,181,944,872 : 242,364,462,238 = 242,364,462,238 : x
  2. Step 2: Convert to fraction form
    172,181,944,872/242,364,462,238 = 242,364,462,238/x
  3. Step 3: Cross multiply
    172,181,944,872x = 242,364,462,238 × 242,364,462,238
  4. Step 4: Simplify right side
    172,181,944,872x = 58,740,532,555,914,925,834,240
  5. Step 5: Solve for x
    x = 58,740,532,555,914,925,834,240/172,181,944,872
  6. Step 6: Final answer
    x = 341,153,845,135.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.