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Finding the Third Proportional to 79,086.38 and 186,686.44

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Solution

The third proportional to 79,086.38 and 186,686.44 is: 440,680.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,086.38 : 186,686.44 = 186,686.44 : x
  2. Step 2: Convert to fraction form
    79,086.38/186,686.44 = 186,686.44/x
  3. Step 3: Cross multiply
    79,086.38x = 186,686.44 × 186,686.44
  4. Step 4: Simplify right side
    79,086.38x = 34,851,825,946.44
  5. Step 5: Solve for x
    x = 34,851,825,946.44/79,086.38
  6. Step 6: Final answer
    x = 440,680.53

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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.