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Finding the Third Proportional to 91,338 and 200,136

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Solution

The third proportional to 91,338 and 200,136 is: 438,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,338 : 200,136 = 200,136 : x
  2. Step 2: Convert to fraction form
    91,338/200,136 = 200,136/x
  3. Step 3: Cross multiply
    91,338x = 200,136 × 200,136
  4. Step 4: Simplify right side
    91,338x = 40,054,418,496
  5. Step 5: Solve for x
    x = 40,054,418,496/91,338
  6. Step 6: Final answer
    x = 438,529.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.