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Finding the Third Proportional to 141,062.77 and 218,667.73

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Solution

The third proportional to 141,062.77 and 218,667.73 is: 338,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,062.77 : 218,667.73 = 218,667.73 : x
  2. Step 2: Convert to fraction form
    141,062.77/218,667.73 = 218,667.73/x
  3. Step 3: Cross multiply
    141,062.77x = 218,667.73 × 218,667.73
  4. Step 4: Simplify right side
    141,062.77x = 47,815,574,640.01
  5. Step 5: Solve for x
    x = 47,815,574,640.01/141,062.77
  6. Step 6: Final answer
    x = 338,966.66

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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.