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Finding the Third Proportional to 96,480 and 206,805

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Solution

The third proportional to 96,480 and 206,805 is: 443,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,480 : 206,805 = 206,805 : x
  2. Step 2: Convert to fraction form
    96,480/206,805 = 206,805/x
  3. Step 3: Cross multiply
    96,480x = 206,805 × 206,805
  4. Step 4: Simplify right side
    96,480x = 42,768,308,025
  5. Step 5: Solve for x
    x = 42,768,308,025/96,480
  6. Step 6: Final answer
    x = 443,286.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.