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Finding the Third Proportional to 43,314 and 97,832

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Solution

The third proportional to 43,314 and 97,832 is: 220,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,314 : 97,832 = 97,832 : x
  2. Step 2: Convert to fraction form
    43,314/97,832 = 97,832/x
  3. Step 3: Cross multiply
    43,314x = 97,832 × 97,832
  4. Step 4: Simplify right side
    43,314x = 9,571,100,224
  5. Step 5: Solve for x
    x = 9,571,100,224/43,314
  6. Step 6: Final answer
    x = 220,970.13

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.