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Finding the Third Proportional to 94,433 and 202,899

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Solution

The third proportional to 94,433 and 202,899 is: 435,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,433 : 202,899 = 202,899 : x
  2. Step 2: Convert to fraction form
    94,433/202,899 = 202,899/x
  3. Step 3: Cross multiply
    94,433x = 202,899 × 202,899
  4. Step 4: Simplify right side
    94,433x = 41,168,004,201
  5. Step 5: Solve for x
    x = 41,168,004,201/94,433
  6. Step 6: Final answer
    x = 435,949.34

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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.