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Finding the Third Proportional to 88,814 and 192,208

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Solution

The third proportional to 88,814 and 192,208 is: 415,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,814 : 192,208 = 192,208 : x
  2. Step 2: Convert to fraction form
    88,814/192,208 = 192,208/x
  3. Step 3: Cross multiply
    88,814x = 192,208 × 192,208
  4. Step 4: Simplify right side
    88,814x = 36,943,915,264
  5. Step 5: Solve for x
    x = 36,943,915,264/88,814
  6. Step 6: Final answer
    x = 415,969.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.