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Finding the Third Proportional to 119,471,717 and 259,968,523.50

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Solution

The third proportional to 119,471,717 and 259,968,523.50 is: 565,687,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,471,717 : 259,968,523.50 = 259,968,523.50 : x
  2. Step 2: Convert to fraction form
    119,471,717/259,968,523.50 = 259,968,523.50/x
  3. Step 3: Cross multiply
    119,471,717x = 259,968,523.50 × 259,968,523.50
  4. Step 4: Simplify right side
    119,471,717x = 67,583,633,210,770,056
  5. Step 5: Solve for x
    x = 67,583,633,210,770,056/119,471,717
  6. Step 6: Final answer
    x = 565,687,301.63

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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.