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Finding the Third Proportional to 96,318 and 205,101

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Solution

The third proportional to 96,318 and 205,101 is: 436,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,318 : 205,101 = 205,101 : x
  2. Step 2: Convert to fraction form
    96,318/205,101 = 205,101/x
  3. Step 3: Cross multiply
    96,318x = 205,101 × 205,101
  4. Step 4: Simplify right side
    96,318x = 42,066,420,201
  5. Step 5: Solve for x
    x = 42,066,420,201/96,318
  6. Step 6: Final answer
    x = 436,745.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.