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Finding the Third Proportional to 49,798 and 104,213

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Solution

The third proportional to 49,798 and 104,213 is: 218,088.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,798 : 104,213 = 104,213 : x
  2. Step 2: Convert to fraction form
    49,798/104,213 = 104,213/x
  3. Step 3: Cross multiply
    49,798x = 104,213 × 104,213
  4. Step 4: Simplify right side
    49,798x = 10,860,349,369
  5. Step 5: Solve for x
    x = 10,860,349,369/49,798
  6. Step 6: Final answer
    x = 218,088.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.