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Finding the Third Proportional to 205,877,878 and 452,563,719

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Solution

The third proportional to 205,877,878 and 452,563,719 is: 994,832,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,877,878 : 452,563,719 = 452,563,719 : x
  2. Step 2: Convert to fraction form
    205,877,878/452,563,719 = 452,563,719/x
  3. Step 3: Cross multiply
    205,877,878x = 452,563,719 × 452,563,719
  4. Step 4: Simplify right side
    205,877,878x = 204,813,919,755,110,976
  5. Step 5: Solve for x
    x = 204,813,919,755,110,976/205,877,878
  6. Step 6: Final answer
    x = 994,832,090.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.