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Finding the Third Proportional to 94,640 and 206,989

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Solution

The third proportional to 94,640 and 206,989 is: 452,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,640 : 206,989 = 206,989 : x
  2. Step 2: Convert to fraction form
    94,640/206,989 = 206,989/x
  3. Step 3: Cross multiply
    94,640x = 206,989 × 206,989
  4. Step 4: Simplify right side
    94,640x = 42,844,446,121
  5. Step 5: Solve for x
    x = 42,844,446,121/94,640
  6. Step 6: Final answer
    x = 452,709.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.