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Finding the Third Proportional to 92,216 and 187,813

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Solution

The third proportional to 92,216 and 187,813 is: 382,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,216 : 187,813 = 187,813 : x
  2. Step 2: Convert to fraction form
    92,216/187,813 = 187,813/x
  3. Step 3: Cross multiply
    92,216x = 187,813 × 187,813
  4. Step 4: Simplify right side
    92,216x = 35,273,722,969
  5. Step 5: Solve for x
    x = 35,273,722,969/92,216
  6. Step 6: Final answer
    x = 382,511.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.