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Finding the Third Proportional to 93,642 and 206,371

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Solution

The third proportional to 93,642 and 206,371 is: 454,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,642 : 206,371 = 206,371 : x
  2. Step 2: Convert to fraction form
    93,642/206,371 = 206,371/x
  3. Step 3: Cross multiply
    93,642x = 206,371 × 206,371
  4. Step 4: Simplify right side
    93,642x = 42,588,989,641
  5. Step 5: Solve for x
    x = 42,588,989,641/93,642
  6. Step 6: Final answer
    x = 454,806.49

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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.