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Finding the Third Proportional to 136,535.63 and 211,992.19

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Solution

The third proportional to 136,535.63 and 211,992.19 is: 329,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,535.63 : 211,992.19 = 211,992.19 : x
  2. Step 2: Convert to fraction form
    136,535.63/211,992.19 = 211,992.19/x
  3. Step 3: Cross multiply
    136,535.63x = 211,992.19 × 211,992.19
  4. Step 4: Simplify right side
    136,535.63x = 44,940,687,561.04
  5. Step 5: Solve for x
    x = 44,940,687,561.04/136,535.63
  6. Step 6: Final answer
    x = 329,149.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.