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Finding the Third Proportional to 96,028 and 206,271

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Solution

The third proportional to 96,028 and 206,271 is: 443,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,028 : 206,271 = 206,271 : x
  2. Step 2: Convert to fraction form
    96,028/206,271 = 206,271/x
  3. Step 3: Cross multiply
    96,028x = 206,271 × 206,271
  4. Step 4: Simplify right side
    96,028x = 42,547,725,441
  5. Step 5: Solve for x
    x = 42,547,725,441/96,028
  6. Step 6: Final answer
    x = 443,076.24

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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.