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Finding the Third Proportional to 83,469.66 and 196,842.94

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Solution

The third proportional to 83,469.66 and 196,842.94 is: 464,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,469.66 : 196,842.94 = 196,842.94 : x
  2. Step 2: Convert to fraction form
    83,469.66/196,842.94 = 196,842.94/x
  3. Step 3: Cross multiply
    83,469.66x = 196,842.94 × 196,842.94
  4. Step 4: Simplify right side
    83,469.66x = 38,747,142,043.63
  5. Step 5: Solve for x
    x = 38,747,142,043.63/83,469.66
  6. Step 6: Final answer
    x = 464,206.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.