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Finding the Third Proportional to 47,434.50 and 100,093.50

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Solution

The third proportional to 47,434.50 and 100,093.50 is: 211,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,434.50 : 100,093.50 = 100,093.50 : x
  2. Step 2: Convert to fraction form
    47,434.50/100,093.50 = 100,093.50/x
  3. Step 3: Cross multiply
    47,434.50x = 100,093.50 × 100,093.50
  4. Step 4: Simplify right side
    47,434.50x = 10,018,708,742.25
  5. Step 5: Solve for x
    x = 10,018,708,742.25/47,434.50
  6. Step 6: Final answer
    x = 211,211.43

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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.