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Finding the Third Proportional to 92,213 and 201,183

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Solution

The third proportional to 92,213 and 201,183 is: 438,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,213 : 201,183 = 201,183 : x
  2. Step 2: Convert to fraction form
    92,213/201,183 = 201,183/x
  3. Step 3: Cross multiply
    92,213x = 201,183 × 201,183
  4. Step 4: Simplify right side
    92,213x = 40,474,599,489
  5. Step 5: Solve for x
    x = 40,474,599,489/92,213
  6. Step 6: Final answer
    x = 438,925.09

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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.