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Finding the Third Proportional to 98,215.88 and 214,427.25

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Solution

The third proportional to 98,215.88 and 214,427.25 is: 468,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,215.88 : 214,427.25 = 214,427.25 : x
  2. Step 2: Convert to fraction form
    98,215.88/214,427.25 = 214,427.25/x
  3. Step 3: Cross multiply
    98,215.88x = 214,427.25 × 214,427.25
  4. Step 4: Simplify right side
    98,215.88x = 45,979,045,542.56
  5. Step 5: Solve for x
    x = 45,979,045,542.56/98,215.88
  6. Step 6: Final answer
    x = 468,142.71

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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.