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Finding the Third Proportional to 43,224 and 93,831

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Solution

The third proportional to 43,224 and 93,831 is: 203,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,224 : 93,831 = 93,831 : x
  2. Step 2: Convert to fraction form
    43,224/93,831 = 93,831/x
  3. Step 3: Cross multiply
    43,224x = 93,831 × 93,831
  4. Step 4: Simplify right side
    43,224x = 8,804,256,561
  5. Step 5: Solve for x
    x = 8,804,256,561/43,224
  6. Step 6: Final answer
    x = 203,689.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.