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Finding the Third Proportional to 49,748.55 and 105,112.69

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Solution

The third proportional to 49,748.55 and 105,112.69 is: 222,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,748.55 : 105,112.69 = 105,112.69 : x
  2. Step 2: Convert to fraction form
    49,748.55/105,112.69 = 105,112.69/x
  3. Step 3: Cross multiply
    49,748.55x = 105,112.69 × 105,112.69
  4. Step 4: Simplify right side
    49,748.55x = 11,048,677,073.47
  5. Step 5: Solve for x
    x = 11,048,677,073.47/49,748.55
  6. Step 6: Final answer
    x = 222,090.41

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.