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Finding the Third Proportional to 96,176 and 209,288

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Solution

The third proportional to 96,176 and 209,288 is: 455,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,176 : 209,288 = 209,288 : x
  2. Step 2: Convert to fraction form
    96,176/209,288 = 209,288/x
  3. Step 3: Cross multiply
    96,176x = 209,288 × 209,288
  4. Step 4: Simplify right side
    96,176x = 43,801,466,944
  5. Step 5: Solve for x
    x = 43,801,466,944/96,176
  6. Step 6: Final answer
    x = 455,430.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.