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Finding the Third Proportional to 200,433,216 and 419,192,105

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Solution

The third proportional to 200,433,216 and 419,192,105 is: 876,711,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,433,216 : 419,192,105 = 419,192,105 : x
  2. Step 2: Convert to fraction form
    200,433,216/419,192,105 = 419,192,105/x
  3. Step 3: Cross multiply
    200,433,216x = 419,192,105 × 419,192,105
  4. Step 4: Simplify right side
    200,433,216x = 175,722,020,894,331,040
  5. Step 5: Solve for x
    x = 175,722,020,894,331,040/200,433,216
  6. Step 6: Final answer
    x = 876,711,078.14

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.