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Finding the Third Proportional to 95,969 and 223,097

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Solution

The third proportional to 95,969 and 223,097 is: 518,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,969 : 223,097 = 223,097 : x
  2. Step 2: Convert to fraction form
    95,969/223,097 = 223,097/x
  3. Step 3: Cross multiply
    95,969x = 223,097 × 223,097
  4. Step 4: Simplify right side
    95,969x = 49,772,271,409
  5. Step 5: Solve for x
    x = 49,772,271,409/95,969
  6. Step 6: Final answer
    x = 518,628.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.