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Finding the Third Proportional to 37,219.50 and 80,999.44

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Solution

The third proportional to 37,219.50 and 80,999.44 is: 176,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,219.50 : 80,999.44 = 80,999.44 : x
  2. Step 2: Convert to fraction form
    37,219.50/80,999.44 = 80,999.44/x
  3. Step 3: Cross multiply
    37,219.50x = 80,999.44 × 80,999.44
  4. Step 4: Simplify right side
    37,219.50x = 6,560,908,875.32
  5. Step 5: Solve for x
    x = 6,560,908,875.32/37,219.50
  6. Step 6: Final answer
    x = 176,276.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.