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Finding the Third Proportional to 41,856.75 and 91,095.75

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Solution

The third proportional to 41,856.75 and 91,095.75 is: 198,258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856.75 : 91,095.75 = 91,095.75 : x
  2. Step 2: Convert to fraction form
    41,856.75/91,095.75 = 91,095.75/x
  3. Step 3: Cross multiply
    41,856.75x = 91,095.75 × 91,095.75
  4. Step 4: Simplify right side
    41,856.75x = 8,298,435,668.06
  5. Step 5: Solve for x
    x = 8,298,435,668.06/41,856.75
  6. Step 6: Final answer
    x = 198,258.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.