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Finding the Third Proportional to 43,298 and 92,828

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Solution

The third proportional to 43,298 and 92,828 is: 199,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,298 : 92,828 = 92,828 : x
  2. Step 2: Convert to fraction form
    43,298/92,828 = 92,828/x
  3. Step 3: Cross multiply
    43,298x = 92,828 × 92,828
  4. Step 4: Simplify right side
    43,298x = 8,617,037,584
  5. Step 5: Solve for x
    x = 8,617,037,584/43,298
  6. Step 6: Final answer
    x = 199,016.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.