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Finding the Third Proportional to 100,951 and 218,619.50

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Solution

The third proportional to 100,951 and 218,619.50 is: 473,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,951 : 218,619.50 = 218,619.50 : x
  2. Step 2: Convert to fraction form
    100,951/218,619.50 = 218,619.50/x
  3. Step 3: Cross multiply
    100,951x = 218,619.50 × 218,619.50
  4. Step 4: Simplify right side
    100,951x = 47,794,485,780.25
  5. Step 5: Solve for x
    x = 47,794,485,780.25/100,951
  6. Step 6: Final answer
    x = 473,442.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.