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Finding the Third Proportional to 86,536.97 and 186,913.69

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Solution

The third proportional to 86,536.97 and 186,913.69 is: 403,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,536.97 : 186,913.69 = 186,913.69 : x
  2. Step 2: Convert to fraction form
    86,536.97/186,913.69 = 186,913.69/x
  3. Step 3: Cross multiply
    86,536.97x = 186,913.69 × 186,913.69
  4. Step 4: Simplify right side
    86,536.97x = 34,936,726,574.85
  5. Step 5: Solve for x
    x = 34,936,726,574.85/86,536.97
  6. Step 6: Final answer
    x = 403,720.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.