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Finding the Third Proportional to 110,042.93 and 231,907.43

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Solution

The third proportional to 110,042.93 and 231,907.43 is: 488,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,042.93 : 231,907.43 = 231,907.43 : x
  2. Step 2: Convert to fraction form
    110,042.93/231,907.43 = 231,907.43/x
  3. Step 3: Cross multiply
    110,042.93x = 231,907.43 × 231,907.43
  4. Step 4: Simplify right side
    110,042.93x = 53,781,055,944.26
  5. Step 5: Solve for x
    x = 53,781,055,944.26/110,042.93
  6. Step 6: Final answer
    x = 488,727.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.