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Finding the Third Proportional to 47,400.50 and 103,729

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Solution

The third proportional to 47,400.50 and 103,729 is: 226,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,400.50 : 103,729 = 103,729 : x
  2. Step 2: Convert to fraction form
    47,400.50/103,729 = 103,729/x
  3. Step 3: Cross multiply
    47,400.50x = 103,729 × 103,729
  4. Step 4: Simplify right side
    47,400.50x = 10,759,705,441
  5. Step 5: Solve for x
    x = 10,759,705,441/47,400.50
  6. Step 6: Final answer
    x = 226,995.61

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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.