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Finding the Third Proportional to 49,984 and 107,968

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Solution

The third proportional to 49,984 and 107,968 is: 233,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,984 : 107,968 = 107,968 : x
  2. Step 2: Convert to fraction form
    49,984/107,968 = 107,968/x
  3. Step 3: Cross multiply
    49,984x = 107,968 × 107,968
  4. Step 4: Simplify right side
    49,984x = 11,657,089,024
  5. Step 5: Solve for x
    x = 11,657,089,024/49,984
  6. Step 6: Final answer
    x = 233,216.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.