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Finding the Third Proportional to 98,636 and 216,916

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Solution

The third proportional to 98,636 and 216,916 is: 477,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,636 : 216,916 = 216,916 : x
  2. Step 2: Convert to fraction form
    98,636/216,916 = 216,916/x
  3. Step 3: Cross multiply
    98,636x = 216,916 × 216,916
  4. Step 4: Simplify right side
    98,636x = 47,052,551,056
  5. Step 5: Solve for x
    x = 47,052,551,056/98,636
  6. Step 6: Final answer
    x = 477,032.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.