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Finding the Third Proportional to 97,851 and 209,916

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Solution

The third proportional to 97,851 and 209,916 is: 450,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,851 : 209,916 = 209,916 : x
  2. Step 2: Convert to fraction form
    97,851/209,916 = 209,916/x
  3. Step 3: Cross multiply
    97,851x = 209,916 × 209,916
  4. Step 4: Simplify right side
    97,851x = 44,064,727,056
  5. Step 5: Solve for x
    x = 44,064,727,056/97,851
  6. Step 6: Final answer
    x = 450,324.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.