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Finding the Third Proportional to 204,278,850 and 436,869,252

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Solution

The third proportional to 204,278,850 and 436,869,252 is: 934,285,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,278,850 : 436,869,252 = 436,869,252 : x
  2. Step 2: Convert to fraction form
    204,278,850/436,869,252 = 436,869,252/x
  3. Step 3: Cross multiply
    204,278,850x = 436,869,252 × 436,869,252
  4. Step 4: Simplify right side
    204,278,850x = 190,854,743,343,039,488
  5. Step 5: Solve for x
    x = 190,854,743,343,039,488/204,278,850
  6. Step 6: Final answer
    x = 934,285,381.69

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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.