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Finding the Third Proportional to 41,416.31 and 86,523.19

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Solution

The third proportional to 41,416.31 and 86,523.19 is: 180,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,416.31 : 86,523.19 = 86,523.19 : x
  2. Step 2: Convert to fraction form
    41,416.31/86,523.19 = 86,523.19/x
  3. Step 3: Cross multiply
    41,416.31x = 86,523.19 × 86,523.19
  4. Step 4: Simplify right side
    41,416.31x = 7,486,261,975.16
  5. Step 5: Solve for x
    x = 7,486,261,975.16/41,416.31
  6. Step 6: Final answer
    x = 180,756.36

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.