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Finding the Third Proportional to 44,986 and 96,201

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Solution

The third proportional to 44,986 and 96,201 is: 205,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,986 : 96,201 = 96,201 : x
  2. Step 2: Convert to fraction form
    44,986/96,201 = 96,201/x
  3. Step 3: Cross multiply
    44,986x = 96,201 × 96,201
  4. Step 4: Simplify right side
    44,986x = 9,254,632,401
  5. Step 5: Solve for x
    x = 9,254,632,401/44,986
  6. Step 6: Final answer
    x = 205,722.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.