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Finding the Third Proportional to 80,103,746,845 and 166,799,697,481

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Solution

The third proportional to 80,103,746,845 and 166,799,697,481 is: 347,326,313,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,103,746,845 : 166,799,697,481 = 166,799,697,481 : x
  2. Step 2: Convert to fraction form
    80,103,746,845/166,799,697,481 = 166,799,697,481/x
  3. Step 3: Cross multiply
    80,103,746,845x = 166,799,697,481 × 166,799,697,481
  4. Step 4: Simplify right side
    80,103,746,845x = 27,822,139,079,753,117,728,768
  5. Step 5: Solve for x
    x = 27,822,139,079,753,117,728,768/80,103,746,845
  6. Step 6: Final answer
    x = 347,326,313,381.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.