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Finding the Third Proportional to 89,667 and 202,434.19

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Solution

The third proportional to 89,667 and 202,434.19 is: 457,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,667 : 202,434.19 = 202,434.19 : x
  2. Step 2: Convert to fraction form
    89,667/202,434.19 = 202,434.19/x
  3. Step 3: Cross multiply
    89,667x = 202,434.19 × 202,434.19
  4. Step 4: Simplify right side
    89,667x = 40,979,600,268.79
  5. Step 5: Solve for x
    x = 40,979,600,268.79/89,667
  6. Step 6: Final answer
    x = 457,019.87

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.