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Finding the Third Proportional to 94,363 and 206,228

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Solution

The third proportional to 94,363 and 206,228 is: 450,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,363 : 206,228 = 206,228 : x
  2. Step 2: Convert to fraction form
    94,363/206,228 = 206,228/x
  3. Step 3: Cross multiply
    94,363x = 206,228 × 206,228
  4. Step 4: Simplify right side
    94,363x = 42,529,987,984
  5. Step 5: Solve for x
    x = 42,529,987,984/94,363
  6. Step 6: Final answer
    x = 450,706.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.