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Finding the Third Proportional to 107,797.88 and 234,471.38

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Solution

The third proportional to 107,797.88 and 234,471.38 is: 509,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,797.88 : 234,471.38 = 234,471.38 : x
  2. Step 2: Convert to fraction form
    107,797.88/234,471.38 = 234,471.38/x
  3. Step 3: Cross multiply
    107,797.88x = 234,471.38 × 234,471.38
  4. Step 4: Simplify right side
    107,797.88x = 54,976,825,694.39
  5. Step 5: Solve for x
    x = 54,976,825,694.39/107,797.88
  6. Step 6: Final answer
    x = 509,999.16

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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.