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Finding the Third Proportional to 48,478.50 and 103,191.47

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Solution

The third proportional to 48,478.50 and 103,191.47 is: 219,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,478.50 : 103,191.47 = 103,191.47 : x
  2. Step 2: Convert to fraction form
    48,478.50/103,191.47 = 103,191.47/x
  3. Step 3: Cross multiply
    48,478.50x = 103,191.47 × 103,191.47
  4. Step 4: Simplify right side
    48,478.50x = 10,648,479,222.78
  5. Step 5: Solve for x
    x = 10,648,479,222.78/48,478.50
  6. Step 6: Final answer
    x = 219,653.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.