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Finding the Third Proportional to 99,042 and 206,292

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Solution

The third proportional to 99,042 and 206,292 is: 429,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,042 : 206,292 = 206,292 : x
  2. Step 2: Convert to fraction form
    99,042/206,292 = 206,292/x
  3. Step 3: Cross multiply
    99,042x = 206,292 × 206,292
  4. Step 4: Simplify right side
    99,042x = 42,556,389,264
  5. Step 5: Solve for x
    x = 42,556,389,264/99,042
  6. Step 6: Final answer
    x = 429,680.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.