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Finding the Third Proportional to 49,293.56 and 107,915.63

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Solution

The third proportional to 49,293.56 and 107,915.63 is: 236,253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,293.56 : 107,915.63 = 107,915.63 : x
  2. Step 2: Convert to fraction form
    49,293.56/107,915.63 = 107,915.63/x
  3. Step 3: Cross multiply
    49,293.56x = 107,915.63 × 107,915.63
  4. Step 4: Simplify right side
    49,293.56x = 11,645,782,119.14
  5. Step 5: Solve for x
    x = 11,645,782,119.14/49,293.56
  6. Step 6: Final answer
    x = 236,253.61

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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.