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Finding the Third Proportional to 94,136.63 and 206,932.50

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Solution

The third proportional to 94,136.63 and 206,932.50 is: 454,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,136.63 : 206,932.50 = 206,932.50 : x
  2. Step 2: Convert to fraction form
    94,136.63/206,932.50 = 206,932.50/x
  3. Step 3: Cross multiply
    94,136.63x = 206,932.50 × 206,932.50
  4. Step 4: Simplify right side
    94,136.63x = 42,821,059,556.25
  5. Step 5: Solve for x
    x = 42,821,059,556.25/94,136.63
  6. Step 6: Final answer
    x = 454,882.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.