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Finding the Third Proportional to 98,255.25 and 210,530.25

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Solution

The third proportional to 98,255.25 and 210,530.25 is: 451,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,255.25 : 210,530.25 = 210,530.25 : x
  2. Step 2: Convert to fraction form
    98,255.25/210,530.25 = 210,530.25/x
  3. Step 3: Cross multiply
    98,255.25x = 210,530.25 × 210,530.25
  4. Step 4: Simplify right side
    98,255.25x = 44,322,986,165.06
  5. Step 5: Solve for x
    x = 44,322,986,165.06/98,255.25
  6. Step 6: Final answer
    x = 451,100.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.