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Finding the Third Proportional to 90,630 and 196,830

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Solution

The third proportional to 90,630 and 196,830 is: 427,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,630 : 196,830 = 196,830 : x
  2. Step 2: Convert to fraction form
    90,630/196,830 = 196,830/x
  3. Step 3: Cross multiply
    90,630x = 196,830 × 196,830
  4. Step 4: Simplify right side
    90,630x = 38,742,048,900
  5. Step 5: Solve for x
    x = 38,742,048,900/90,630
  6. Step 6: Final answer
    x = 427,474.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.