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Finding the Third Proportional to 77,673.94 and 166,409.44

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Solution

The third proportional to 77,673.94 and 166,409.44 is: 356,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,673.94 : 166,409.44 = 166,409.44 : x
  2. Step 2: Convert to fraction form
    77,673.94/166,409.44 = 166,409.44/x
  3. Step 3: Cross multiply
    77,673.94x = 166,409.44 × 166,409.44
  4. Step 4: Simplify right side
    77,673.94x = 27,692,100,889.07
  5. Step 5: Solve for x
    x = 27,692,100,889.07/77,673.94
  6. Step 6: Final answer
    x = 356,517.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.