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Finding the Third Proportional to 92,217 and 201,191

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Solution

The third proportional to 92,217 and 201,191 is: 438,940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,217 : 201,191 = 201,191 : x
  2. Step 2: Convert to fraction form
    92,217/201,191 = 201,191/x
  3. Step 3: Cross multiply
    92,217x = 201,191 × 201,191
  4. Step 4: Simplify right side
    92,217x = 40,477,818,481
  5. Step 5: Solve for x
    x = 40,477,818,481/92,217
  6. Step 6: Final answer
    x = 438,940.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.