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Finding the Third Proportional to 205,592,766 and 281,923,317

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Solution

The third proportional to 205,592,766 and 281,923,317 is: 386,593,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,592,766 : 281,923,317 = 281,923,317 : x
  2. Step 2: Convert to fraction form
    205,592,766/281,923,317 = 281,923,317/x
  3. Step 3: Cross multiply
    205,592,766x = 281,923,317 × 281,923,317
  4. Step 4: Simplify right side
    205,592,766x = 79,480,756,668,282,496
  5. Step 5: Solve for x
    x = 79,480,756,668,282,496/205,592,766
  6. Step 6: Final answer
    x = 386,593,157.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.