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Finding the Third Proportional to 200,836,960,200 and 436,976,078,796

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Solution

The third proportional to 200,836,960,200 and 436,976,078,796 is: 950,761,718,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,836,960,200 : 436,976,078,796 = 436,976,078,796 : x
  2. Step 2: Convert to fraction form
    200,836,960,200/436,976,078,796 = 436,976,078,796/x
  3. Step 3: Cross multiply
    200,836,960,200x = 436,976,078,796 × 436,976,078,796
  4. Step 4: Simplify right side
    200,836,960,200x = 190,948,093,439,928,011,063,296
  5. Step 5: Solve for x
    x = 190,948,093,439,928,011,063,296/200,836,960,200
  6. Step 6: Final answer
    x = 950,761,718,608.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.