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Finding the Third Proportional to 99,394.59 and 207,172.69

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Solution

The third proportional to 99,394.59 and 207,172.69 is: 431,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,394.59 : 207,172.69 = 207,172.69 : x
  2. Step 2: Convert to fraction form
    99,394.59/207,172.69 = 207,172.69/x
  3. Step 3: Cross multiply
    99,394.59x = 207,172.69 × 207,172.69
  4. Step 4: Simplify right side
    99,394.59x = 42,920,522,445.97
  5. Step 5: Solve for x
    x = 42,920,522,445.97/99,394.59
  6. Step 6: Final answer
    x = 431,819.49

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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.