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Finding the Third Proportional to 98,916 and 146,199

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Solution

The third proportional to 98,916 and 146,199 is: 216,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,916 : 146,199 = 146,199 : x
  2. Step 2: Convert to fraction form
    98,916/146,199 = 146,199/x
  3. Step 3: Cross multiply
    98,916x = 146,199 × 146,199
  4. Step 4: Simplify right side
    98,916x = 21,374,147,601
  5. Step 5: Solve for x
    x = 21,374,147,601/98,916
  6. Step 6: Final answer
    x = 216,083.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.