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Finding the Third Proportional to 92,680 and 203,792

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Solution

The third proportional to 92,680 and 203,792 is: 448,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,680 : 203,792 = 203,792 : x
  2. Step 2: Convert to fraction form
    92,680/203,792 = 203,792/x
  3. Step 3: Cross multiply
    92,680x = 203,792 × 203,792
  4. Step 4: Simplify right side
    92,680x = 41,531,179,264
  5. Step 5: Solve for x
    x = 41,531,179,264/92,680
  6. Step 6: Final answer
    x = 448,113.72

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