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Finding the Third Proportional to 43,229 and 93,838

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Solution

The third proportional to 43,229 and 93,838 is: 203,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,229 : 93,838 = 93,838 : x
  2. Step 2: Convert to fraction form
    43,229/93,838 = 93,838/x
  3. Step 3: Cross multiply
    43,229x = 93,838 × 93,838
  4. Step 4: Simplify right side
    43,229x = 8,805,570,244
  5. Step 5: Solve for x
    x = 8,805,570,244/43,229
  6. Step 6: Final answer
    x = 203,695.90

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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.