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Finding the Third Proportional to 88,216 and 206,692

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Solution

The third proportional to 88,216 and 206,692 is: 484,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,216 : 206,692 = 206,692 : x
  2. Step 2: Convert to fraction form
    88,216/206,692 = 206,692/x
  3. Step 3: Cross multiply
    88,216x = 206,692 × 206,692
  4. Step 4: Simplify right side
    88,216x = 42,721,582,864
  5. Step 5: Solve for x
    x = 42,721,582,864/88,216
  6. Step 6: Final answer
    x = 484,283.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.