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Finding the Third Proportional to 99,152 and 203,136

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Solution

The third proportional to 99,152 and 203,136 is: 416,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,152 : 203,136 = 203,136 : x
  2. Step 2: Convert to fraction form
    99,152/203,136 = 203,136/x
  3. Step 3: Cross multiply
    99,152x = 203,136 × 203,136
  4. Step 4: Simplify right side
    99,152x = 41,264,234,496
  5. Step 5: Solve for x
    x = 41,264,234,496/99,152
  6. Step 6: Final answer
    x = 416,171.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.