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Finding the Third Proportional to 100,098 and 218,052

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Solution

The third proportional to 100,098 and 218,052 is: 475,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,098 : 218,052 = 218,052 : x
  2. Step 2: Convert to fraction form
    100,098/218,052 = 218,052/x
  3. Step 3: Cross multiply
    100,098x = 218,052 × 218,052
  4. Step 4: Simplify right side
    100,098x = 47,546,674,704
  5. Step 5: Solve for x
    x = 47,546,674,704/100,098
  6. Step 6: Final answer
    x = 475,001.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.