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Finding the Third Proportional to 89,703 and 193,230

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Solution

The third proportional to 89,703 and 193,230 is: 416,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,703 : 193,230 = 193,230 : x
  2. Step 2: Convert to fraction form
    89,703/193,230 = 193,230/x
  3. Step 3: Cross multiply
    89,703x = 193,230 × 193,230
  4. Step 4: Simplify right side
    89,703x = 37,337,832,900
  5. Step 5: Solve for x
    x = 37,337,832,900/89,703
  6. Step 6: Final answer
    x = 416,238.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.