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Finding the Third Proportional to 41,370.75 and 89,303.34

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Solution

The third proportional to 41,370.75 and 89,303.34 is: 192,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,370.75 : 89,303.34 = 89,303.34 : x
  2. Step 2: Convert to fraction form
    41,370.75/89,303.34 = 89,303.34/x
  3. Step 3: Cross multiply
    41,370.75x = 89,303.34 × 89,303.34
  4. Step 4: Simplify right side
    41,370.75x = 7,975,087,204.93
  5. Step 5: Solve for x
    x = 7,975,087,204.93/41,370.75
  6. Step 6: Final answer
    x = 192,771.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.