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Finding the Third Proportional to 94,680.75 and 206,310

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Solution

The third proportional to 94,680.75 and 206,310 is: 449,550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,680.75 : 206,310 = 206,310 : x
  2. Step 2: Convert to fraction form
    94,680.75/206,310 = 206,310/x
  3. Step 3: Cross multiply
    94,680.75x = 206,310 × 206,310
  4. Step 4: Simplify right side
    94,680.75x = 42,563,816,100
  5. Step 5: Solve for x
    x = 42,563,816,100/94,680.75
  6. Step 6: Final answer
    x = 449,550.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.