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Finding the Third Proportional to 98,218.13 and 214,431.75

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Solution

The third proportional to 98,218.13 and 214,431.75 is: 468,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,218.13 : 214,431.75 = 214,431.75 : x
  2. Step 2: Convert to fraction form
    98,218.13/214,431.75 = 214,431.75/x
  3. Step 3: Cross multiply
    98,218.13x = 214,431.75 × 214,431.75
  4. Step 4: Simplify right side
    98,218.13x = 45,980,975,408.06
  5. Step 5: Solve for x
    x = 45,980,975,408.06/98,218.13
  6. Step 6: Final answer
    x = 468,151.63

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