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Finding the Third Proportional to 205,452,222 and 439,994,703

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Solution

The third proportional to 205,452,222 and 439,994,703 is: 942,288,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,452,222 : 439,994,703 = 439,994,703 : x
  2. Step 2: Convert to fraction form
    205,452,222/439,994,703 = 439,994,703/x
  3. Step 3: Cross multiply
    205,452,222x = 439,994,703 × 439,994,703
  4. Step 4: Simplify right side
    205,452,222x = 193,595,338,668,058,208
  5. Step 5: Solve for x
    x = 193,595,338,668,058,208/205,452,222
  6. Step 6: Final answer
    x = 942,288,853.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.