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Finding the Third Proportional to 88,210 and 192,282

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Solution

The third proportional to 88,210 and 192,282 is: 419,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,210 : 192,282 = 192,282 : x
  2. Step 2: Convert to fraction form
    88,210/192,282 = 192,282/x
  3. Step 3: Cross multiply
    88,210x = 192,282 × 192,282
  4. Step 4: Simplify right side
    88,210x = 36,972,367,524
  5. Step 5: Solve for x
    x = 36,972,367,524/88,210
  6. Step 6: Final answer
    x = 419,140.32

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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.