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Finding the Third Proportional to 231,891,500 and 505,449,360

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Solution

The third proportional to 231,891,500 and 505,449,360 is: 1,101,718,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,891,500 : 505,449,360 = 505,449,360 : x
  2. Step 2: Convert to fraction form
    231,891,500/505,449,360 = 505,449,360/x
  3. Step 3: Cross multiply
    231,891,500x = 505,449,360 × 505,449,360
  4. Step 4: Simplify right side
    231,891,500x = 255,479,055,524,409,600
  5. Step 5: Solve for x
    x = 255,479,055,524,409,600/231,891,500
  6. Step 6: Final answer
    x = 1,101,718,068.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.