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Finding the Third Proportional to 95,498,786 and 204,611,620

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Solution

The third proportional to 95,498,786 and 204,611,620 is: 438,392,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,498,786 : 204,611,620 = 204,611,620 : x
  2. Step 2: Convert to fraction form
    95,498,786/204,611,620 = 204,611,620/x
  3. Step 3: Cross multiply
    95,498,786x = 204,611,620 × 204,611,620
  4. Step 4: Simplify right side
    95,498,786x = 41,865,915,039,024,400
  5. Step 5: Solve for x
    x = 41,865,915,039,024,400/95,498,786
  6. Step 6: Final answer
    x = 438,392,117.77

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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.