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Finding the Third Proportional to 44,882 and 97,193

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Solution

The third proportional to 44,882 and 97,193 is: 210,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,882 : 97,193 = 97,193 : x
  2. Step 2: Convert to fraction form
    44,882/97,193 = 97,193/x
  3. Step 3: Cross multiply
    44,882x = 97,193 × 97,193
  4. Step 4: Simplify right side
    44,882x = 9,446,479,249
  5. Step 5: Solve for x
    x = 9,446,479,249/44,882
  6. Step 6: Final answer
    x = 210,473.67

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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.