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Finding the Third Proportional to 107,863.13 and 168,836.63

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Solution

The third proportional to 107,863.13 and 168,836.63 is: 264,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,863.13 : 168,836.63 = 168,836.63 : x
  2. Step 2: Convert to fraction form
    107,863.13/168,836.63 = 168,836.63/x
  3. Step 3: Cross multiply
    107,863.13x = 168,836.63 × 168,836.63
  4. Step 4: Simplify right side
    107,863.13x = 28,505,805,941.39
  5. Step 5: Solve for x
    x = 28,505,805,941.39/107,863.13
  6. Step 6: Final answer
    x = 264,277.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.