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Finding the Third Proportional to 92,330 and 198,781

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Solution

The third proportional to 92,330 and 198,781 is: 427,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,330 : 198,781 = 198,781 : x
  2. Step 2: Convert to fraction form
    92,330/198,781 = 198,781/x
  3. Step 3: Cross multiply
    92,330x = 198,781 × 198,781
  4. Step 4: Simplify right side
    92,330x = 39,513,885,961
  5. Step 5: Solve for x
    x = 39,513,885,961/92,330
  6. Step 6: Final answer
    x = 427,963.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.