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Finding the Third Proportional to 110,696.63 and 237,517.88

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Solution

The third proportional to 110,696.63 and 237,517.88 is: 509,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,696.63 : 237,517.88 = 237,517.88 : x
  2. Step 2: Convert to fraction form
    110,696.63/237,517.88 = 237,517.88/x
  3. Step 3: Cross multiply
    110,696.63x = 237,517.88 × 237,517.88
  4. Step 4: Simplify right side
    110,696.63x = 56,414,740,944.52
  5. Step 5: Solve for x
    x = 56,414,740,944.52/110,696.63
  6. Step 6: Final answer
    x = 509,633.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.