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Finding the Third Proportional to 87,996.94 and 180,094.50

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Solution

The third proportional to 87,996.94 and 180,094.50 is: 368,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,996.94 : 180,094.50 = 180,094.50 : x
  2. Step 2: Convert to fraction form
    87,996.94/180,094.50 = 180,094.50/x
  3. Step 3: Cross multiply
    87,996.94x = 180,094.50 × 180,094.50
  4. Step 4: Simplify right side
    87,996.94x = 32,434,028,930.25
  5. Step 5: Solve for x
    x = 32,434,028,930.25/87,996.94
  6. Step 6: Final answer
    x = 368,581.34

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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.