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Finding the Third Proportional to 48,208 and 103,813

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Solution

The third proportional to 48,208 and 103,813 is: 223,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,208 : 103,813 = 103,813 : x
  2. Step 2: Convert to fraction form
    48,208/103,813 = 103,813/x
  3. Step 3: Cross multiply
    48,208x = 103,813 × 103,813
  4. Step 4: Simplify right side
    48,208x = 10,777,138,969
  5. Step 5: Solve for x
    x = 10,777,138,969/48,208
  6. Step 6: Final answer
    x = 223,554.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.