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Finding the Third Proportional to 95,498,784 and 204,611,589

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Solution

The third proportional to 95,498,784 and 204,611,589 is: 438,391,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,498,784 : 204,611,589 = 204,611,589 : x
  2. Step 2: Convert to fraction form
    95,498,784/204,611,589 = 204,611,589/x
  3. Step 3: Cross multiply
    95,498,784x = 204,611,589 × 204,611,589
  4. Step 4: Simplify right side
    95,498,784x = 41,865,902,353,104,920
  5. Step 5: Solve for x
    x = 41,865,902,353,104,920/95,498,784
  6. Step 6: Final answer
    x = 438,391,994.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.