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Finding the Third Proportional to 98,194 and 208,064

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Solution

The third proportional to 98,194 and 208,064 is: 440,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,194 : 208,064 = 208,064 : x
  2. Step 2: Convert to fraction form
    98,194/208,064 = 208,064/x
  3. Step 3: Cross multiply
    98,194x = 208,064 × 208,064
  4. Step 4: Simplify right side
    98,194x = 43,290,628,096
  5. Step 5: Solve for x
    x = 43,290,628,096/98,194
  6. Step 6: Final answer
    x = 440,868.36

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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.