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Finding the Third Proportional to 98,276.06 and 214,954.88

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Solution

The third proportional to 98,276.06 and 214,954.88 is: 470,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,276.06 : 214,954.88 = 214,954.88 : x
  2. Step 2: Convert to fraction form
    98,276.06/214,954.88 = 214,954.88/x
  3. Step 3: Cross multiply
    98,276.06x = 214,954.88 × 214,954.88
  4. Step 4: Simplify right side
    98,276.06x = 46,205,598,286.27
  5. Step 5: Solve for x
    x = 46,205,598,286.27/98,276.06
  6. Step 6: Final answer
    x = 470,161.27

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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.