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Finding the Third Proportional to 97,958.25 and 215,181.56

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Solution

The third proportional to 97,958.25 and 215,181.56 is: 472,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,958.25 : 215,181.56 = 215,181.56 : x
  2. Step 2: Convert to fraction form
    97,958.25/215,181.56 = 215,181.56/x
  3. Step 3: Cross multiply
    97,958.25x = 215,181.56 × 215,181.56
  4. Step 4: Simplify right side
    97,958.25x = 46,303,104,839.94
  5. Step 5: Solve for x
    x = 46,303,104,839.94/97,958.25
  6. Step 6: Final answer
    x = 472,682.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.