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Finding the Third Proportional to 45,798.75 and 96,517.50

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Solution

The third proportional to 45,798.75 and 96,517.50 is: 203,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,798.75 : 96,517.50 = 96,517.50 : x
  2. Step 2: Convert to fraction form
    45,798.75/96,517.50 = 96,517.50/x
  3. Step 3: Cross multiply
    45,798.75x = 96,517.50 × 96,517.50
  4. Step 4: Simplify right side
    45,798.75x = 9,315,627,806.25
  5. Step 5: Solve for x
    x = 9,315,627,806.25/45,798.75
  6. Step 6: Final answer
    x = 203,403.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.