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Finding the Third Proportional to 103,968 and 218,988

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Solution

The third proportional to 103,968 and 218,988 is: 461,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,968 : 218,988 = 218,988 : x
  2. Step 2: Convert to fraction form
    103,968/218,988 = 218,988/x
  3. Step 3: Cross multiply
    103,968x = 218,988 × 218,988
  4. Step 4: Simplify right side
    103,968x = 47,955,744,144
  5. Step 5: Solve for x
    x = 47,955,744,144/103,968
  6. Step 6: Final answer
    x = 461,254.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.