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Finding the Third Proportional to 50,009.48 and 109,006.17

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Solution

The third proportional to 50,009.48 and 109,006.17 is: 237,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,009.48 : 109,006.17 = 109,006.17 : x
  2. Step 2: Convert to fraction form
    50,009.48/109,006.17 = 109,006.17/x
  3. Step 3: Cross multiply
    50,009.48x = 109,006.17 × 109,006.17
  4. Step 4: Simplify right side
    50,009.48x = 11,882,345,506.84
  5. Step 5: Solve for x
    x = 11,882,345,506.84/50,009.48
  6. Step 6: Final answer
    x = 237,601.84

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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.