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Finding the Third Proportional to 164,536,207,067 and 231,703,236,696

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Solution

The third proportional to 164,536,207,067 and 231,703,236,696 is: 326,289,215,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,536,207,067 : 231,703,236,696 = 231,703,236,696 : x
  2. Step 2: Convert to fraction form
    164,536,207,067/231,703,236,696 = 231,703,236,696/x
  3. Step 3: Cross multiply
    164,536,207,067x = 231,703,236,696 × 231,703,236,696
  4. Step 4: Simplify right side
    164,536,207,067x = 53,686,389,895,402,597,908,480
  5. Step 5: Solve for x
    x = 53,686,389,895,402,597,908,480/164,536,207,067
  6. Step 6: Final answer
    x = 326,289,215,318.68

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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.