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Finding the Third Proportional to 120,723,702 and 261,503,090

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Solution

The third proportional to 120,723,702 and 261,503,090 is: 566,449,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,723,702 : 261,503,090 = 261,503,090 : x
  2. Step 2: Convert to fraction form
    120,723,702/261,503,090 = 261,503,090/x
  3. Step 3: Cross multiply
    120,723,702x = 261,503,090 × 261,503,090
  4. Step 4: Simplify right side
    120,723,702x = 68,383,866,079,548,096
  5. Step 5: Solve for x
    x = 68,383,866,079,548,096/120,723,702
  6. Step 6: Final answer
    x = 566,449,379.42

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