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Finding the Third Proportional to 43,018.50 and 101,214

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Solution

The third proportional to 43,018.50 and 101,214 is: 238,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,018.50 : 101,214 = 101,214 : x
  2. Step 2: Convert to fraction form
    43,018.50/101,214 = 101,214/x
  3. Step 3: Cross multiply
    43,018.50x = 101,214 × 101,214
  4. Step 4: Simplify right side
    43,018.50x = 10,244,273,796
  5. Step 5: Solve for x
    x = 10,244,273,796/43,018.50
  6. Step 6: Final answer
    x = 238,136.47

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.