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Finding the Third Proportional to 42,238.97 and 98,216.30

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Solution

The third proportional to 42,238.97 and 98,216.30 is: 228,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,238.97 : 98,216.30 = 98,216.30 : x
  2. Step 2: Convert to fraction form
    42,238.97/98,216.30 = 98,216.30/x
  3. Step 3: Cross multiply
    42,238.97x = 98,216.30 × 98,216.30
  4. Step 4: Simplify right side
    42,238.97x = 9,646,440,971.84
  5. Step 5: Solve for x
    x = 9,646,440,971.84/42,238.97
  6. Step 6: Final answer
    x = 228,377.76

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.