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Finding the Third Proportional to 98,226 and 213,952

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Solution

The third proportional to 98,226 and 213,952 is: 466,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,226 : 213,952 = 213,952 : x
  2. Step 2: Convert to fraction form
    98,226/213,952 = 213,952/x
  3. Step 3: Cross multiply
    98,226x = 213,952 × 213,952
  4. Step 4: Simplify right side
    98,226x = 45,775,458,304
  5. Step 5: Solve for x
    x = 45,775,458,304/98,226
  6. Step 6: Final answer
    x = 466,021.81

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