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Finding the Third Proportional to 94,881 and 205,346

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Solution

The third proportional to 94,881 and 205,346 is: 444,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,881 : 205,346 = 205,346 : x
  2. Step 2: Convert to fraction form
    94,881/205,346 = 205,346/x
  3. Step 3: Cross multiply
    94,881x = 205,346 × 205,346
  4. Step 4: Simplify right side
    94,881x = 42,166,979,716
  5. Step 5: Solve for x
    x = 42,166,979,716/94,881
  6. Step 6: Final answer
    x = 444,419.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.