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Finding the Third Proportional to 98,466.38 and 214,755.75

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Solution

The third proportional to 98,466.38 and 214,755.75 is: 468,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,466.38 : 214,755.75 = 214,755.75 : x
  2. Step 2: Convert to fraction form
    98,466.38/214,755.75 = 214,755.75/x
  3. Step 3: Cross multiply
    98,466.38x = 214,755.75 × 214,755.75
  4. Step 4: Simplify right side
    98,466.38x = 46,120,032,158.06
  5. Step 5: Solve for x
    x = 46,120,032,158.06/98,466.38
  6. Step 6: Final answer
    x = 468,383.57

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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.