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Finding the Third Proportional to 98,578.50 and 215,400

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Solution

The third proportional to 98,578.50 and 215,400 is: 470,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578.50 : 215,400 = 215,400 : x
  2. Step 2: Convert to fraction form
    98,578.50/215,400 = 215,400/x
  3. Step 3: Cross multiply
    98,578.50x = 215,400 × 215,400
  4. Step 4: Simplify right side
    98,578.50x = 46,397,160,000
  5. Step 5: Solve for x
    x = 46,397,160,000/98,578.50
  6. Step 6: Final answer
    x = 470,662.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.