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Finding the Third Proportional to 80,500.50 and 158,970.94

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Solution

The third proportional to 80,500.50 and 158,970.94 is: 313,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,500.50 : 158,970.94 = 158,970.94 : x
  2. Step 2: Convert to fraction form
    80,500.50/158,970.94 = 158,970.94/x
  3. Step 3: Cross multiply
    80,500.50x = 158,970.94 × 158,970.94
  4. Step 4: Simplify right side
    80,500.50x = 25,271,758,969.63
  5. Step 5: Solve for x
    x = 25,271,758,969.63/80,500.50
  6. Step 6: Final answer
    x = 313,932.94

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.