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Finding the Third Proportional to 90,031.50 and 188,674.31

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Solution

The third proportional to 90,031.50 and 188,674.31 is: 395,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,031.50 : 188,674.31 = 188,674.31 : x
  2. Step 2: Convert to fraction form
    90,031.50/188,674.31 = 188,674.31/x
  3. Step 3: Cross multiply
    90,031.50x = 188,674.31 × 188,674.31
  4. Step 4: Simplify right side
    90,031.50x = 35,597,996,197.35
  5. Step 5: Solve for x
    x = 35,597,996,197.35/90,031.50
  6. Step 6: Final answer
    x = 395,394.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.