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Finding the Third Proportional to 204,058,324.50 and 416,681,625

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Solution

The third proportional to 204,058,324.50 and 416,681,625 is: 850,852,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,058,324.50 : 416,681,625 = 416,681,625 : x
  2. Step 2: Convert to fraction form
    204,058,324.50/416,681,625 = 416,681,625/x
  3. Step 3: Cross multiply
    204,058,324.50x = 416,681,625 × 416,681,625
  4. Step 4: Simplify right side
    204,058,324.50x = 173,623,576,612,640,640
  5. Step 5: Solve for x
    x = 173,623,576,612,640,640/204,058,324.50
  6. Step 6: Final answer
    x = 850,852,701.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.