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Finding the Third Proportional to 86,340.94 and 133,201.97

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Solution

The third proportional to 86,340.94 and 133,201.97 is: 205,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,340.94 : 133,201.97 = 133,201.97 : x
  2. Step 2: Convert to fraction form
    86,340.94/133,201.97 = 133,201.97/x
  3. Step 3: Cross multiply
    86,340.94x = 133,201.97 × 133,201.97
  4. Step 4: Simplify right side
    86,340.94x = 17,742,764,478.88
  5. Step 5: Solve for x
    x = 17,742,764,478.88/86,340.94
  6. Step 6: Final answer
    x = 205,496.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.