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Finding the Third Proportional to 90,000 and 196,947

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Solution

The third proportional to 90,000 and 196,947 is: 430,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,000 : 196,947 = 196,947 : x
  2. Step 2: Convert to fraction form
    90,000/196,947 = 196,947/x
  3. Step 3: Cross multiply
    90,000x = 196,947 × 196,947
  4. Step 4: Simplify right side
    90,000x = 38,788,120,809
  5. Step 5: Solve for x
    x = 38,788,120,809/90,000
  6. Step 6: Final answer
    x = 430,979.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.