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Finding the Third Proportional to 94,136 and 201,916

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Solution

The third proportional to 94,136 and 201,916 is: 433,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,136 : 201,916 = 201,916 : x
  2. Step 2: Convert to fraction form
    94,136/201,916 = 201,916/x
  3. Step 3: Cross multiply
    94,136x = 201,916 × 201,916
  4. Step 4: Simplify right side
    94,136x = 40,770,071,056
  5. Step 5: Solve for x
    x = 40,770,071,056/94,136
  6. Step 6: Final answer
    x = 433,097.55

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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.