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Finding the Third Proportional to 103,136 and 218,474

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Solution

The third proportional to 103,136 and 218,474 is: 462,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,136 : 218,474 = 218,474 : x
  2. Step 2: Convert to fraction form
    103,136/218,474 = 218,474/x
  3. Step 3: Cross multiply
    103,136x = 218,474 × 218,474
  4. Step 4: Simplify right side
    103,136x = 47,730,888,676
  5. Step 5: Solve for x
    x = 47,730,888,676/103,136
  6. Step 6: Final answer
    x = 462,795.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.