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Finding the Third Proportional to 45,317 and 97,193

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Solution

The third proportional to 45,317 and 97,193 is: 208,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,317 : 97,193 = 97,193 : x
  2. Step 2: Convert to fraction form
    45,317/97,193 = 97,193/x
  3. Step 3: Cross multiply
    45,317x = 97,193 × 97,193
  4. Step 4: Simplify right side
    45,317x = 9,446,479,249
  5. Step 5: Solve for x
    x = 9,446,479,249/45,317
  6. Step 6: Final answer
    x = 208,453.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.