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Finding the Third Proportional to 94,115 and 206,890

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Solution

The third proportional to 94,115 and 206,890 is: 454,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,115 : 206,890 = 206,890 : x
  2. Step 2: Convert to fraction form
    94,115/206,890 = 206,890/x
  3. Step 3: Cross multiply
    94,115x = 206,890 × 206,890
  4. Step 4: Simplify right side
    94,115x = 42,803,472,100
  5. Step 5: Solve for x
    x = 42,803,472,100/94,115
  6. Step 6: Final answer
    x = 454,799.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.