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Finding the Third Proportional to 93,780 and 197,361

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Solution

The third proportional to 93,780 and 197,361 is: 415,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,780 : 197,361 = 197,361 : x
  2. Step 2: Convert to fraction form
    93,780/197,361 = 197,361/x
  3. Step 3: Cross multiply
    93,780x = 197,361 × 197,361
  4. Step 4: Simplify right side
    93,780x = 38,951,364,321
  5. Step 5: Solve for x
    x = 38,951,364,321/93,780
  6. Step 6: Final answer
    x = 415,348.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.