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Finding the Third Proportional to 91,255,824 and 202,914,992

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Solution

The third proportional to 91,255,824 and 202,914,992 is: 451,198,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,255,824 : 202,914,992 = 202,914,992 : x
  2. Step 2: Convert to fraction form
    91,255,824/202,914,992 = 202,914,992/x
  3. Step 3: Cross multiply
    91,255,824x = 202,914,992 × 202,914,992
  4. Step 4: Simplify right side
    91,255,824x = 41,174,493,978,360,064
  5. Step 5: Solve for x
    x = 41,174,493,978,360,064/91,255,824
  6. Step 6: Final answer
    x = 451,198,533.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.