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Finding the Third Proportional to 133,903.97 and 278,904.94

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Solution

The third proportional to 133,903.97 and 278,904.94 is: 580,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,903.97 : 278,904.94 = 278,904.94 : x
  2. Step 2: Convert to fraction form
    133,903.97/278,904.94 = 278,904.94/x
  3. Step 3: Cross multiply
    133,903.97x = 278,904.94 × 278,904.94
  4. Step 4: Simplify right side
    133,903.97x = 77,787,964,161.88
  5. Step 5: Solve for x
    x = 77,787,964,161.88/133,903.97
  6. Step 6: Final answer
    x = 580,923.51

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.