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Finding the Third Proportional to 93,890 and 208,770

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Solution

The third proportional to 93,890 and 208,770 is: 464,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,890 : 208,770 = 208,770 : x
  2. Step 2: Convert to fraction form
    93,890/208,770 = 208,770/x
  3. Step 3: Cross multiply
    93,890x = 208,770 × 208,770
  4. Step 4: Simplify right side
    93,890x = 43,584,912,900
  5. Step 5: Solve for x
    x = 43,584,912,900/93,890
  6. Step 6: Final answer
    x = 464,212.51

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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.