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Finding the Third Proportional to 218,565,012 and 332,322,960

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Solution

The third proportional to 218,565,012 and 332,322,960 is: 505,289,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,565,012 : 332,322,960 = 332,322,960 : x
  2. Step 2: Convert to fraction form
    218,565,012/332,322,960 = 332,322,960/x
  3. Step 3: Cross multiply
    218,565,012x = 332,322,960 × 332,322,960
  4. Step 4: Simplify right side
    218,565,012x = 110,438,549,743,161,600
  5. Step 5: Solve for x
    x = 110,438,549,743,161,600/218,565,012
  6. Step 6: Final answer
    x = 505,289,244.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.