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Finding the Third Proportional to 171,821,108,162 and 348,541,482,332

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Solution

The third proportional to 171,821,108,162 and 348,541,482,332 is: 707,021,193,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,821,108,162 : 348,541,482,332 = 348,541,482,332 : x
  2. Step 2: Convert to fraction form
    171,821,108,162/348,541,482,332 = 348,541,482,332/x
  3. Step 3: Cross multiply
    171,821,108,162x = 348,541,482,332 × 348,541,482,332
  4. Step 4: Simplify right side
    171,821,108,162x = 121,481,164,906,187,873,845,248
  5. Step 5: Solve for x
    x = 121,481,164,906,187,873,845,248/171,821,108,162
  6. Step 6: Final answer
    x = 707,021,193,179.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.