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Finding the Third Proportional to 44,986.50 and 96,993

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Solution

The third proportional to 44,986.50 and 96,993 is: 209,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,986.50 : 96,993 = 96,993 : x
  2. Step 2: Convert to fraction form
    44,986.50/96,993 = 96,993/x
  3. Step 3: Cross multiply
    44,986.50x = 96,993 × 96,993
  4. Step 4: Simplify right side
    44,986.50x = 9,407,642,049
  5. Step 5: Solve for x
    x = 9,407,642,049/44,986.50
  6. Step 6: Final answer
    x = 209,121.45

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Why These Related Problems?

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