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Finding the Third Proportional to 91,116 and 200,168

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Solution

The third proportional to 91,116 and 200,168 is: 439,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,116 : 200,168 = 200,168 : x
  2. Step 2: Convert to fraction form
    91,116/200,168 = 200,168/x
  3. Step 3: Cross multiply
    91,116x = 200,168 × 200,168
  4. Step 4: Simplify right side
    91,116x = 40,067,228,224
  5. Step 5: Solve for x
    x = 40,067,228,224/91,116
  6. Step 6: Final answer
    x = 439,738.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.