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Finding the Third Proportional to 93,452 and 201,976

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Solution

The third proportional to 93,452 and 201,976 is: 436,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,452 : 201,976 = 201,976 : x
  2. Step 2: Convert to fraction form
    93,452/201,976 = 201,976/x
  3. Step 3: Cross multiply
    93,452x = 201,976 × 201,976
  4. Step 4: Simplify right side
    93,452x = 40,794,304,576
  5. Step 5: Solve for x
    x = 40,794,304,576/93,452
  6. Step 6: Final answer
    x = 436,526.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.