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Finding the Third Proportional to 96,906 and 205,320

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Solution

The third proportional to 96,906 and 205,320 is: 435,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,906 : 205,320 = 205,320 : x
  2. Step 2: Convert to fraction form
    96,906/205,320 = 205,320/x
  3. Step 3: Cross multiply
    96,906x = 205,320 × 205,320
  4. Step 4: Simplify right side
    96,906x = 42,156,302,400
  5. Step 5: Solve for x
    x = 42,156,302,400/96,906
  6. Step 6: Final answer
    x = 435,022.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.