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Finding the Third Proportional to 96,824 and 202,516

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Solution

The third proportional to 96,824 and 202,516 is: 423,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,824 : 202,516 = 202,516 : x
  2. Step 2: Convert to fraction form
    96,824/202,516 = 202,516/x
  3. Step 3: Cross multiply
    96,824x = 202,516 × 202,516
  4. Step 4: Simplify right side
    96,824x = 41,012,730,256
  5. Step 5: Solve for x
    x = 41,012,730,256/96,824
  6. Step 6: Final answer
    x = 423,580.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.