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Finding the Third Proportional to 93,886 and 208,761

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Solution

The third proportional to 93,886 and 208,761 is: 464,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,886 : 208,761 = 208,761 : x
  2. Step 2: Convert to fraction form
    93,886/208,761 = 208,761/x
  3. Step 3: Cross multiply
    93,886x = 208,761 × 208,761
  4. Step 4: Simplify right side
    93,886x = 43,581,155,121
  5. Step 5: Solve for x
    x = 43,581,155,121/93,886
  6. Step 6: Final answer
    x = 464,192.27

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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.