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Finding the Third Proportional to 96,028 and 209,276

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Solution

The third proportional to 96,028 and 209,276 is: 456,079.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,028 : 209,276 = 209,276 : x
  2. Step 2: Convert to fraction form
    96,028/209,276 = 209,276/x
  3. Step 3: Cross multiply
    96,028x = 209,276 × 209,276
  4. Step 4: Simplify right side
    96,028x = 43,796,444,176
  5. Step 5: Solve for x
    x = 43,796,444,176/96,028
  6. Step 6: Final answer
    x = 456,079.94

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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.