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Finding the Third Proportional to 111,201,754.50 and 231,607,611

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Solution

The third proportional to 111,201,754.50 and 231,607,611 is: 482,385,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,201,754.50 : 231,607,611 = 231,607,611 : x
  2. Step 2: Convert to fraction form
    111,201,754.50/231,607,611 = 231,607,611/x
  3. Step 3: Cross multiply
    111,201,754.50x = 231,607,611 × 231,607,611
  4. Step 4: Simplify right side
    111,201,754.50x = 53,642,085,473,127,320
  5. Step 5: Solve for x
    x = 53,642,085,473,127,320/111,201,754.50
  6. Step 6: Final answer
    x = 482,385,243.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.