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Finding the Third Proportional to 45,327 and 97,211

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Solution

The third proportional to 45,327 and 97,211 is: 208,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,327 : 97,211 = 97,211 : x
  2. Step 2: Convert to fraction form
    45,327/97,211 = 97,211/x
  3. Step 3: Cross multiply
    45,327x = 97,211 × 97,211
  4. Step 4: Simplify right side
    45,327x = 9,449,978,521
  5. Step 5: Solve for x
    x = 9,449,978,521/45,327
  6. Step 6: Final answer
    x = 208,484.54

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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.