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Finding the Third Proportional to 94,650 and 208,992

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Solution

The third proportional to 94,650 and 208,992 is: 461,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,650 : 208,992 = 208,992 : x
  2. Step 2: Convert to fraction form
    94,650/208,992 = 208,992/x
  3. Step 3: Cross multiply
    94,650x = 208,992 × 208,992
  4. Step 4: Simplify right side
    94,650x = 43,677,656,064
  5. Step 5: Solve for x
    x = 43,677,656,064/94,650
  6. Step 6: Final answer
    x = 461,464.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.