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Finding the Third Proportional to 93,924 and 208,838

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Solution

The third proportional to 93,924 and 208,838 is: 464,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,924 : 208,838 = 208,838 : x
  2. Step 2: Convert to fraction form
    93,924/208,838 = 208,838/x
  3. Step 3: Cross multiply
    93,924x = 208,838 × 208,838
  4. Step 4: Simplify right side
    93,924x = 43,613,310,244
  5. Step 5: Solve for x
    x = 43,613,310,244/93,924
  6. Step 6: Final answer
    x = 464,346.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.