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Finding the Third Proportional to 89,934 and 196,999.50

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Solution

The third proportional to 89,934 and 196,999.50 is: 431,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,934 : 196,999.50 = 196,999.50 : x
  2. Step 2: Convert to fraction form
    89,934/196,999.50 = 196,999.50/x
  3. Step 3: Cross multiply
    89,934x = 196,999.50 × 196,999.50
  4. Step 4: Simplify right side
    89,934x = 38,808,803,000.25
  5. Step 5: Solve for x
    x = 38,808,803,000.25/89,934
  6. Step 6: Final answer
    x = 431,525.37

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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.