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Finding the Third Proportional to 85,969.69 and 186,708.38

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Solution

The third proportional to 85,969.69 and 186,708.38 is: 405,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,969.69 : 186,708.38 = 186,708.38 : x
  2. Step 2: Convert to fraction form
    85,969.69/186,708.38 = 186,708.38/x
  3. Step 3: Cross multiply
    85,969.69x = 186,708.38 × 186,708.38
  4. Step 4: Simplify right side
    85,969.69x = 34,860,017,295.14
  5. Step 5: Solve for x
    x = 34,860,017,295.14/85,969.69
  6. Step 6: Final answer
    x = 405,491.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.