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Finding the Third Proportional to 47,477.50 and 102,479

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Solution

The third proportional to 47,477.50 and 102,479 is: 221,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,477.50 : 102,479 = 102,479 : x
  2. Step 2: Convert to fraction form
    47,477.50/102,479 = 102,479/x
  3. Step 3: Cross multiply
    47,477.50x = 102,479 × 102,479
  4. Step 4: Simplify right side
    47,477.50x = 10,501,945,441
  5. Step 5: Solve for x
    x = 10,501,945,441/47,477.50
  6. Step 6: Final answer
    x = 221,198.37

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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.