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Finding the Third Proportional to 50,309.94 and 103,809.38

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Solution

The third proportional to 50,309.94 and 103,809.38 is: 214,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,309.94 : 103,809.38 = 103,809.38 : x
  2. Step 2: Convert to fraction form
    50,309.94/103,809.38 = 103,809.38/x
  3. Step 3: Cross multiply
    50,309.94x = 103,809.38 × 103,809.38
  4. Step 4: Simplify right side
    50,309.94x = 10,776,386,337.89
  5. Step 5: Solve for x
    x = 10,776,386,337.89/50,309.94
  6. Step 6: Final answer
    x = 214,199.95

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.