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Finding the Third Proportional to 92,168 and 215,828

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Solution

The third proportional to 92,168 and 215,828 is: 505,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,168 : 215,828 = 215,828 : x
  2. Step 2: Convert to fraction form
    92,168/215,828 = 215,828/x
  3. Step 3: Cross multiply
    92,168x = 215,828 × 215,828
  4. Step 4: Simplify right side
    92,168x = 46,581,725,584
  5. Step 5: Solve for x
    x = 46,581,725,584/92,168
  6. Step 6: Final answer
    x = 505,400.20

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.