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Finding the Third Proportional to 88,209 and 192,279

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Solution

The third proportional to 88,209 and 192,279 is: 419,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,209 : 192,279 = 192,279 : x
  2. Step 2: Convert to fraction form
    88,209/192,279 = 192,279/x
  3. Step 3: Cross multiply
    88,209x = 192,279 × 192,279
  4. Step 4: Simplify right side
    88,209x = 36,971,213,841
  5. Step 5: Solve for x
    x = 36,971,213,841/88,209
  6. Step 6: Final answer
    x = 419,131.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.