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Finding the Third Proportional to 47,244.80 and 102,793.08

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Solution

The third proportional to 47,244.80 and 102,793.08 is: 223,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,244.80 : 102,793.08 = 102,793.08 : x
  2. Step 2: Convert to fraction form
    47,244.80/102,793.08 = 102,793.08/x
  3. Step 3: Cross multiply
    47,244.80x = 102,793.08 × 102,793.08
  4. Step 4: Simplify right side
    47,244.80x = 10,566,416,910.41
  5. Step 5: Solve for x
    x = 10,566,416,910.41/47,244.80
  6. Step 6: Final answer
    x = 223,652.50

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