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Finding the Third Proportional to 48,204 and 103,809.38

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Solution

The third proportional to 48,204 and 103,809.38 is: 223,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,204 : 103,809.38 = 103,809.38 : x
  2. Step 2: Convert to fraction form
    48,204/103,809.38 = 103,809.38/x
  3. Step 3: Cross multiply
    48,204x = 103,809.38 × 103,809.38
  4. Step 4: Simplify right side
    48,204x = 10,776,386,337.89
  5. Step 5: Solve for x
    x = 10,776,386,337.89/48,204
  6. Step 6: Final answer
    x = 223,557.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.