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Finding the Third Proportional to 47,338.50 and 102,057

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Solution

The third proportional to 47,338.50 and 102,057 is: 220,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,338.50 : 102,057 = 102,057 : x
  2. Step 2: Convert to fraction form
    47,338.50/102,057 = 102,057/x
  3. Step 3: Cross multiply
    47,338.50x = 102,057 × 102,057
  4. Step 4: Simplify right side
    47,338.50x = 10,415,631,249
  5. Step 5: Solve for x
    x = 10,415,631,249/47,338.50
  6. Step 6: Final answer
    x = 220,024.53

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