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Finding the Third Proportional to 43,804 and 93,432

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Solution

The third proportional to 43,804 and 93,432 is: 199,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,804 : 93,432 = 93,432 : x
  2. Step 2: Convert to fraction form
    43,804/93,432 = 93,432/x
  3. Step 3: Cross multiply
    43,804x = 93,432 × 93,432
  4. Step 4: Simplify right side
    43,804x = 8,729,538,624
  5. Step 5: Solve for x
    x = 8,729,538,624/43,804
  6. Step 6: Final answer
    x = 199,286.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.