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Finding the Third Proportional to 47,850.75 and 103,353.75

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Solution

The third proportional to 47,850.75 and 103,353.75 is: 223,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,850.75 : 103,353.75 = 103,353.75 : x
  2. Step 2: Convert to fraction form
    47,850.75/103,353.75 = 103,353.75/x
  3. Step 3: Cross multiply
    47,850.75x = 103,353.75 × 103,353.75
  4. Step 4: Simplify right side
    47,850.75x = 10,681,997,639.06
  5. Step 5: Solve for x
    x = 10,681,997,639.06/47,850.75
  6. Step 6: Final answer
    x = 223,235.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.