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Finding the Third Proportional to 97,940.87 and 214,334.54

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Solution

The third proportional to 97,940.87 and 214,334.54 is: 469,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,940.87 : 214,334.54 = 214,334.54 : x
  2. Step 2: Convert to fraction form
    97,940.87/214,334.54 = 214,334.54/x
  3. Step 3: Cross multiply
    97,940.87x = 214,334.54 × 214,334.54
  4. Step 4: Simplify right side
    97,940.87x = 45,939,296,309.62
  5. Step 5: Solve for x
    x = 45,939,296,309.62/97,940.87
  6. Step 6: Final answer
    x = 469,051.36

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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.