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Finding the Third Proportional to 48,673.50 and 104,618.50

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Solution

The third proportional to 48,673.50 and 104,618.50 is: 224,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,673.50 : 104,618.50 = 104,618.50 : x
  2. Step 2: Convert to fraction form
    48,673.50/104,618.50 = 104,618.50/x
  3. Step 3: Cross multiply
    48,673.50x = 104,618.50 × 104,618.50
  4. Step 4: Simplify right side
    48,673.50x = 10,945,030,542.25
  5. Step 5: Solve for x
    x = 10,945,030,542.25/48,673.50
  6. Step 6: Final answer
    x = 224,866.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.