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Finding the Third Proportional to 96,030 and 206,274

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Solution

The third proportional to 96,030 and 206,274 is: 443,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,030 : 206,274 = 206,274 : x
  2. Step 2: Convert to fraction form
    96,030/206,274 = 206,274/x
  3. Step 3: Cross multiply
    96,030x = 206,274 × 206,274
  4. Step 4: Simplify right side
    96,030x = 42,548,963,076
  5. Step 5: Solve for x
    x = 42,548,963,076/96,030
  6. Step 6: Final answer
    x = 443,079.90

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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.