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Finding the Third Proportional to 98,489.25 and 214,800.75

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Solution

The third proportional to 98,489.25 and 214,800.75 is: 468,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,489.25 : 214,800.75 = 214,800.75 : x
  2. Step 2: Convert to fraction form
    98,489.25/214,800.75 = 214,800.75/x
  3. Step 3: Cross multiply
    98,489.25x = 214,800.75 × 214,800.75
  4. Step 4: Simplify right side
    98,489.25x = 46,139,362,200.56
  5. Step 5: Solve for x
    x = 46,139,362,200.56/98,489.25
  6. Step 6: Final answer
    x = 468,471.05

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Why These Related Problems?

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