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Finding the Third Proportional to 215,018,961.50 and 332,033,739.75

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Solution

The third proportional to 215,018,961.50 and 332,033,739.75 is: 512,728,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,018,961.50 : 332,033,739.75 = 332,033,739.75 : x
  2. Step 2: Convert to fraction form
    215,018,961.50/332,033,739.75 = 332,033,739.75/x
  3. Step 3: Cross multiply
    215,018,961.50x = 332,033,739.75 × 332,033,739.75
  4. Step 4: Simplify right side
    215,018,961.50x = 110,246,404,332,370,736
  5. Step 5: Solve for x
    x = 110,246,404,332,370,736/215,018,961.50
  6. Step 6: Final answer
    x = 512,728,754.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.