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Finding the Third Proportional to 94,614 and 208,908

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Solution

The third proportional to 94,614 and 208,908 is: 461,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,614 : 208,908 = 208,908 : x
  2. Step 2: Convert to fraction form
    94,614/208,908 = 208,908/x
  3. Step 3: Cross multiply
    94,614x = 208,908 × 208,908
  4. Step 4: Simplify right side
    94,614x = 43,642,552,464
  5. Step 5: Solve for x
    x = 43,642,552,464/94,614
  6. Step 6: Final answer
    x = 461,269.50

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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.