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Finding the Third Proportional to 83,390 and 192,887

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Solution

The third proportional to 83,390 and 192,887 is: 446,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,390 : 192,887 = 192,887 : x
  2. Step 2: Convert to fraction form
    83,390/192,887 = 192,887/x
  3. Step 3: Cross multiply
    83,390x = 192,887 × 192,887
  4. Step 4: Simplify right side
    83,390x = 37,205,394,769
  5. Step 5: Solve for x
    x = 37,205,394,769/83,390
  6. Step 6: Final answer
    x = 446,161.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.