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Finding the Third Proportional to 101,605.88 and 223,323.63

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Solution

The third proportional to 101,605.88 and 223,323.63 is: 490,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,605.88 : 223,323.63 = 223,323.63 : x
  2. Step 2: Convert to fraction form
    101,605.88/223,323.63 = 223,323.63/x
  3. Step 3: Cross multiply
    101,605.88x = 223,323.63 × 223,323.63
  4. Step 4: Simplify right side
    101,605.88x = 49,873,441,483.14
  5. Step 5: Solve for x
    x = 49,873,441,483.14/101,605.88
  6. Step 6: Final answer
    x = 490,851.95

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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.