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Finding the Third Proportional to 139,981.69 and 215,451.38

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Solution

The third proportional to 139,981.69 and 215,451.38 is: 331,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,981.69 : 215,451.38 = 215,451.38 : x
  2. Step 2: Convert to fraction form
    139,981.69/215,451.38 = 215,451.38/x
  3. Step 3: Cross multiply
    139,981.69x = 215,451.38 × 215,451.38
  4. Step 4: Simplify right side
    139,981.69x = 46,419,294,989.39
  5. Step 5: Solve for x
    x = 46,419,294,989.39/139,981.69
  6. Step 6: Final answer
    x = 331,609.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.