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Finding the Third Proportional to 93,170 and 206,980

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Solution

The third proportional to 93,170 and 206,980 is: 459,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,170 : 206,980 = 206,980 : x
  2. Step 2: Convert to fraction form
    93,170/206,980 = 206,980/x
  3. Step 3: Cross multiply
    93,170x = 206,980 × 206,980
  4. Step 4: Simplify right side
    93,170x = 42,840,720,400
  5. Step 5: Solve for x
    x = 42,840,720,400/93,170
  6. Step 6: Final answer
    x = 459,812.39

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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.