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Finding the Third Proportional to 47,350.75 and 105,211.75

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Solution

The third proportional to 47,350.75 and 105,211.75 is: 233,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,350.75 : 105,211.75 = 105,211.75 : x
  2. Step 2: Convert to fraction form
    47,350.75/105,211.75 = 105,211.75/x
  3. Step 3: Cross multiply
    47,350.75x = 105,211.75 × 105,211.75
  4. Step 4: Simplify right side
    47,350.75x = 11,069,512,338.06
  5. Step 5: Solve for x
    x = 11,069,512,338.06/47,350.75
  6. Step 6: Final answer
    x = 233,776.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.