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Finding the Third Proportional to 120,723,696 and 261,503,077.50

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Solution

The third proportional to 120,723,696 and 261,503,077.50 is: 566,449,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,723,696 : 261,503,077.50 = 261,503,077.50 : x
  2. Step 2: Convert to fraction form
    120,723,696/261,503,077.50 = 261,503,077.50/x
  3. Step 3: Cross multiply
    120,723,696x = 261,503,077.50 × 261,503,077.50
  4. Step 4: Simplify right side
    120,723,696x = 68,383,859,541,971,008
  5. Step 5: Solve for x
    x = 68,383,859,541,971,008/120,723,696
  6. Step 6: Final answer
    x = 566,449,353.42

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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.