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Finding the Third Proportional to 79,947 and 188,491.50

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Solution

The third proportional to 79,947 and 188,491.50 is: 444,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,947 : 188,491.50 = 188,491.50 : x
  2. Step 2: Convert to fraction form
    79,947/188,491.50 = 188,491.50/x
  3. Step 3: Cross multiply
    79,947x = 188,491.50 × 188,491.50
  4. Step 4: Simplify right side
    79,947x = 35,529,045,572.25
  5. Step 5: Solve for x
    x = 35,529,045,572.25/79,947
  6. Step 6: Final answer
    x = 444,407.49

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.