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Finding the Third Proportional to 203,978,027.25 and 437,060,751.75

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Solution

The third proportional to 203,978,027.25 and 437,060,751.75 is: 936,483,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,978,027.25 : 437,060,751.75 = 437,060,751.75 : x
  2. Step 2: Convert to fraction form
    203,978,027.25/437,060,751.75 = 437,060,751.75/x
  3. Step 3: Cross multiply
    203,978,027.25x = 437,060,751.75 × 437,060,751.75
  4. Step 4: Simplify right side
    203,978,027.25x = 191,022,100,720,275,136
  5. Step 5: Solve for x
    x = 191,022,100,720,275,136/203,978,027.25
  6. Step 6: Final answer
    x = 936,483,714.92

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Why These Related Problems?

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