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Finding the Third Proportional to 93,738 and 201,327

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Solution

The third proportional to 93,738 and 201,327 is: 432,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,738 : 201,327 = 201,327 : x
  2. Step 2: Convert to fraction form
    93,738/201,327 = 201,327/x
  3. Step 3: Cross multiply
    93,738x = 201,327 × 201,327
  4. Step 4: Simplify right side
    93,738x = 40,532,560,929
  5. Step 5: Solve for x
    x = 40,532,560,929/93,738
  6. Step 6: Final answer
    x = 432,402.66

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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.