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Finding the Third Proportional to 98,578.88 and 213,765.75

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Solution

The third proportional to 98,578.88 and 213,765.75 is: 463,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578.88 : 213,765.75 = 213,765.75 : x
  2. Step 2: Convert to fraction form
    98,578.88/213,765.75 = 213,765.75/x
  3. Step 3: Cross multiply
    98,578.88x = 213,765.75 × 213,765.75
  4. Step 4: Simplify right side
    98,578.88x = 45,695,795,873.06
  5. Step 5: Solve for x
    x = 45,695,795,873.06/98,578.88
  6. Step 6: Final answer
    x = 463,545.52

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