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Finding the Third Proportional to 49,304.25 and 107,937.84

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Solution

The third proportional to 49,304.25 and 107,937.84 is: 236,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,304.25 : 107,937.84 = 107,937.84 : x
  2. Step 2: Convert to fraction form
    49,304.25/107,937.84 = 107,937.84/x
  3. Step 3: Cross multiply
    49,304.25x = 107,937.84 × 107,937.84
  4. Step 4: Simplify right side
    49,304.25x = 11,650,578,113.40
  5. Step 5: Solve for x
    x = 11,650,578,113.40/49,304.25
  6. Step 6: Final answer
    x = 236,299.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.