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Finding the Third Proportional to 98,311.50 and 215,019

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Solution

The third proportional to 98,311.50 and 215,019 is: 470,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,311.50 : 215,019 = 215,019 : x
  2. Step 2: Convert to fraction form
    98,311.50/215,019 = 215,019/x
  3. Step 3: Cross multiply
    98,311.50x = 215,019 × 215,019
  4. Step 4: Simplify right side
    98,311.50x = 46,233,170,361
  5. Step 5: Solve for x
    x = 46,233,170,361/98,311.50
  6. Step 6: Final answer
    x = 470,272.25

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Why These Related Problems?

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