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Finding the Third Proportional to 226,100,952 and 489,763,899

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Solution

The third proportional to 226,100,952 and 489,763,899 is: 1,060,891,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,100,952 : 489,763,899 = 489,763,899 : x
  2. Step 2: Convert to fraction form
    226,100,952/489,763,899 = 489,763,899/x
  3. Step 3: Cross multiply
    226,100,952x = 489,763,899 × 489,763,899
  4. Step 4: Simplify right side
    226,100,952x = 239,868,676,763,682,208
  5. Step 5: Solve for x
    x = 239,868,676,763,682,208/226,100,952
  6. Step 6: Final answer
    x = 1,060,891,936.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.