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Finding the Third Proportional to 48,214 and 98,778

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Solution

The third proportional to 48,214 and 98,778 is: 202,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,214 : 98,778 = 98,778 : x
  2. Step 2: Convert to fraction form
    48,214/98,778 = 98,778/x
  3. Step 3: Cross multiply
    48,214x = 98,778 × 98,778
  4. Step 4: Simplify right side
    48,214x = 9,757,093,284
  5. Step 5: Solve for x
    x = 9,757,093,284/48,214
  6. Step 6: Final answer
    x = 202,370.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.