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Finding the Third Proportional to 44,432 and 93,860

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Solution

The third proportional to 44,432 and 93,860 is: 198,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,432 : 93,860 = 93,860 : x
  2. Step 2: Convert to fraction form
    44,432/93,860 = 93,860/x
  3. Step 3: Cross multiply
    44,432x = 93,860 × 93,860
  4. Step 4: Simplify right side
    44,432x = 8,809,699,600
  5. Step 5: Solve for x
    x = 8,809,699,600/44,432
  6. Step 6: Final answer
    x = 198,273.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.