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Finding the Third Proportional to 98,662.50 and 213,957

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Solution

The third proportional to 98,662.50 and 213,957 is: 463,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,662.50 : 213,957 = 213,957 : x
  2. Step 2: Convert to fraction form
    98,662.50/213,957 = 213,957/x
  3. Step 3: Cross multiply
    98,662.50x = 213,957 × 213,957
  4. Step 4: Simplify right side
    98,662.50x = 45,777,597,849
  5. Step 5: Solve for x
    x = 45,777,597,849/98,662.50
  6. Step 6: Final answer
    x = 463,981.73

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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.