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Finding the Third Proportional to 44,711 and 93,093

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Solution

The third proportional to 44,711 and 93,093 is: 193,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,711 : 93,093 = 93,093 : x
  2. Step 2: Convert to fraction form
    44,711/93,093 = 93,093/x
  3. Step 3: Cross multiply
    44,711x = 93,093 × 93,093
  4. Step 4: Simplify right side
    44,711x = 8,666,306,649
  5. Step 5: Solve for x
    x = 8,666,306,649/44,711
  6. Step 6: Final answer
    x = 193,829.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.