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Finding the Third Proportional to 96,968 and 209,236

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Solution

The third proportional to 96,968 and 209,236 is: 451,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,968 : 209,236 = 209,236 : x
  2. Step 2: Convert to fraction form
    96,968/209,236 = 209,236/x
  3. Step 3: Cross multiply
    96,968x = 209,236 × 209,236
  4. Step 4: Simplify right side
    96,968x = 43,779,703,696
  5. Step 5: Solve for x
    x = 43,779,703,696/96,968
  6. Step 6: Final answer
    x = 451,486.10

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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.