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Finding the Third Proportional to 81,329.06 and 166,622.06

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Solution

The third proportional to 81,329.06 and 166,622.06 is: 341,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,329.06 : 166,622.06 = 166,622.06 : x
  2. Step 2: Convert to fraction form
    81,329.06/166,622.06 = 166,622.06/x
  3. Step 3: Cross multiply
    81,329.06x = 166,622.06 × 166,622.06
  4. Step 4: Simplify right side
    81,329.06x = 27,762,911,711.75
  5. Step 5: Solve for x
    x = 27,762,911,711.75/81,329.06
  6. Step 6: Final answer
    x = 341,365.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.