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Finding the Third Proportional to 92,368 and 198,863

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Solution

The third proportional to 92,368 and 198,863 is: 428,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,368 : 198,863 = 198,863 : x
  2. Step 2: Convert to fraction form
    92,368/198,863 = 198,863/x
  3. Step 3: Cross multiply
    92,368x = 198,863 × 198,863
  4. Step 4: Simplify right side
    92,368x = 39,546,492,769
  5. Step 5: Solve for x
    x = 39,546,492,769/92,368
  6. Step 6: Final answer
    x = 428,140.62

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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.