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Finding the Third Proportional to 101,818.69 and 223,669.69

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Solution

The third proportional to 101,818.69 and 223,669.69 is: 491,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,818.69 : 223,669.69 = 223,669.69 : x
  2. Step 2: Convert to fraction form
    101,818.69/223,669.69 = 223,669.69/x
  3. Step 3: Cross multiply
    101,818.69x = 223,669.69 × 223,669.69
  4. Step 4: Simplify right side
    101,818.69x = 50,028,129,106.35
  5. Step 5: Solve for x
    x = 50,028,129,106.35/101,818.69
  6. Step 6: Final answer
    x = 491,345.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.