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Finding the Third Proportional to 200,836,960,209 and 436,976,078,814

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Solution

The third proportional to 200,836,960,209 and 436,976,078,814 is: 950,761,718,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,836,960,209 : 436,976,078,814 = 436,976,078,814 : x
  2. Step 2: Convert to fraction form
    200,836,960,209/436,976,078,814 = 436,976,078,814/x
  3. Step 3: Cross multiply
    200,836,960,209x = 436,976,078,814 × 436,976,078,814
  4. Step 4: Simplify right side
    200,836,960,209x = 190,948,093,455,659,134,091,264
  5. Step 5: Solve for x
    x = 190,948,093,455,659,134,091,264/200,836,960,209
  6. Step 6: Final answer
    x = 950,761,718,644.57

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