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Finding the Third Proportional to 94,643 and 208,969

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Solution

The third proportional to 94,643 and 208,969 is: 461,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,643 : 208,969 = 208,969 : x
  2. Step 2: Convert to fraction form
    94,643/208,969 = 208,969/x
  3. Step 3: Cross multiply
    94,643x = 208,969 × 208,969
  4. Step 4: Simplify right side
    94,643x = 43,668,042,961
  5. Step 5: Solve for x
    x = 43,668,042,961/94,643
  6. Step 6: Final answer
    x = 461,397.49

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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.