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Finding the Third Proportional to 90,933 and 197,605.50

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Solution

The third proportional to 90,933 and 197,605.50 is: 429,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,933 : 197,605.50 = 197,605.50 : x
  2. Step 2: Convert to fraction form
    90,933/197,605.50 = 197,605.50/x
  3. Step 3: Cross multiply
    90,933x = 197,605.50 × 197,605.50
  4. Step 4: Simplify right side
    90,933x = 39,047,933,630.25
  5. Step 5: Solve for x
    x = 39,047,933,630.25/90,933
  6. Step 6: Final answer
    x = 429,414.33

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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.