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Finding the Third Proportional to 50,922,597 and 104,198,406

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Solution

The third proportional to 50,922,597 and 104,198,406 is: 213,211,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,922,597 : 104,198,406 = 104,198,406 : x
  2. Step 2: Convert to fraction form
    50,922,597/104,198,406 = 104,198,406/x
  3. Step 3: Cross multiply
    50,922,597x = 104,198,406 × 104,198,406
  4. Step 4: Simplify right side
    50,922,597x = 10,857,307,812,940,836
  5. Step 5: Solve for x
    x = 10,857,307,812,940,836/50,922,597
  6. Step 6: Final answer
    x = 213,211,981.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.