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Finding the Third Proportional to 120,540,225 and 261,629,501

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Solution

The third proportional to 120,540,225 and 261,629,501 is: 567,860,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,540,225 : 261,629,501 = 261,629,501 : x
  2. Step 2: Convert to fraction form
    120,540,225/261,629,501 = 261,629,501/x
  3. Step 3: Cross multiply
    120,540,225x = 261,629,501 × 261,629,501
  4. Step 4: Simplify right side
    120,540,225x = 68,449,995,793,509,000
  5. Step 5: Solve for x
    x = 68,449,995,793,509,000/120,540,225
  6. Step 6: Final answer
    x = 567,860,195.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.