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Finding the Third Proportional to 89,023.50 and 193,599

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Solution

The third proportional to 89,023.50 and 193,599 is: 421,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,023.50 : 193,599 = 193,599 : x
  2. Step 2: Convert to fraction form
    89,023.50/193,599 = 193,599/x
  3. Step 3: Cross multiply
    89,023.50x = 193,599 × 193,599
  4. Step 4: Simplify right side
    89,023.50x = 37,480,572,801
  5. Step 5: Solve for x
    x = 37,480,572,801/89,023.50
  6. Step 6: Final answer
    x = 421,018.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.