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Finding the Third Proportional to 107,983.13 and 215,989.03

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Solution

The third proportional to 107,983.13 and 215,989.03 is: 432,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,983.13 : 215,989.03 = 215,989.03 : x
  2. Step 2: Convert to fraction form
    107,983.13/215,989.03 = 215,989.03/x
  3. Step 3: Cross multiply
    107,983.13x = 215,989.03 × 215,989.03
  4. Step 4: Simplify right side
    107,983.13x = 46,651,261,620.31
  5. Step 5: Solve for x
    x = 46,651,261,620.31/107,983.13
  6. Step 6: Final answer
    x = 432,023.63

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.