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Finding the Third Proportional to 203,181,702 and 445,180,739.25

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Solution

The third proportional to 203,181,702 and 445,180,739.25 is: 975,412,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,181,702 : 445,180,739.25 = 445,180,739.25 : x
  2. Step 2: Convert to fraction form
    203,181,702/445,180,739.25 = 445,180,739.25/x
  3. Step 3: Cross multiply
    203,181,702x = 445,180,739.25 × 445,180,739.25
  4. Step 4: Simplify right side
    203,181,702x = 198,185,890,599,176,480
  5. Step 5: Solve for x
    x = 198,185,890,599,176,480/203,181,702
  6. Step 6: Final answer
    x = 975,412,099.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.