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Finding the Third Proportional to 91,575.56 and 196,290.84

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Solution

The third proportional to 91,575.56 and 196,290.84 is: 420,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,575.56 : 196,290.84 = 196,290.84 : x
  2. Step 2: Convert to fraction form
    91,575.56/196,290.84 = 196,290.84/x
  3. Step 3: Cross multiply
    91,575.56x = 196,290.84 × 196,290.84
  4. Step 4: Simplify right side
    91,575.56x = 38,530,095,340.09
  5. Step 5: Solve for x
    x = 38,530,095,340.09/91,575.56
  6. Step 6: Final answer
    x = 420,746.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.