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Finding the Third Proportional to 299,755,221.75 and 449,632,802.25

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Solution

The third proportional to 299,755,221.75 and 449,632,802.25 is: 674,449,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,755,221.75 : 449,632,802.25 = 449,632,802.25 : x
  2. Step 2: Convert to fraction form
    299,755,221.75/449,632,802.25 = 449,632,802.25/x
  3. Step 3: Cross multiply
    299,755,221.75x = 449,632,802.25 × 449,632,802.25
  4. Step 4: Simplify right side
    299,755,221.75x = 202,169,656,859,187,616
  5. Step 5: Solve for x
    x = 202,169,656,859,187,616/299,755,221.75
  6. Step 6: Final answer
    x = 674,449,157.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.