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Finding the Third Proportional to 40,182.75 and 97,216.88

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Solution

The third proportional to 40,182.75 and 97,216.88 is: 235,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,182.75 : 97,216.88 = 97,216.88 : x
  2. Step 2: Convert to fraction form
    40,182.75/97,216.88 = 97,216.88/x
  3. Step 3: Cross multiply
    40,182.75x = 97,216.88 × 97,216.88
  4. Step 4: Simplify right side
    40,182.75x = 9,451,120,784.77
  5. Step 5: Solve for x
    x = 9,451,120,784.77/40,182.75
  6. Step 6: Final answer
    x = 235,203.43

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.