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Finding the Third Proportional to 94,383 and 209,745

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Solution

The third proportional to 94,383 and 209,745 is: 466,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,383 : 209,745 = 209,745 : x
  2. Step 2: Convert to fraction form
    94,383/209,745 = 209,745/x
  3. Step 3: Cross multiply
    94,383x = 209,745 × 209,745
  4. Step 4: Simplify right side
    94,383x = 43,992,965,025
  5. Step 5: Solve for x
    x = 43,992,965,025/94,383
  6. Step 6: Final answer
    x = 466,111.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.