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Finding the Third Proportional to 240,287,519.25 and 361,071,081

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Solution

The third proportional to 240,287,519.25 and 361,071,081 is: 542,568,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,287,519.25 : 361,071,081 = 361,071,081 : x
  2. Step 2: Convert to fraction form
    240,287,519.25/361,071,081 = 361,071,081/x
  3. Step 3: Cross multiply
    240,287,519.25x = 361,071,081 × 361,071,081
  4. Step 4: Simplify right side
    240,287,519.25x = 130,372,325,534,508,560
  5. Step 5: Solve for x
    x = 130,372,325,534,508,560/240,287,519.25
  6. Step 6: Final answer
    x = 542,568,028.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.