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Finding the Third Proportional to 92,202 and 190,900

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Solution

The third proportional to 92,202 and 190,900 is: 395,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,202 : 190,900 = 190,900 : x
  2. Step 2: Convert to fraction form
    92,202/190,900 = 190,900/x
  3. Step 3: Cross multiply
    92,202x = 190,900 × 190,900
  4. Step 4: Simplify right side
    92,202x = 36,442,810,000
  5. Step 5: Solve for x
    x = 36,442,810,000/92,202
  6. Step 6: Final answer
    x = 395,249.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.