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Finding the Third Proportional to 40,423.43 and 94,416.89

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Solution

The third proportional to 40,423.43 and 94,416.89 is: 220,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,423.43 : 94,416.89 = 94,416.89 : x
  2. Step 2: Convert to fraction form
    40,423.43/94,416.89 = 94,416.89/x
  3. Step 3: Cross multiply
    40,423.43x = 94,416.89 × 94,416.89
  4. Step 4: Simplify right side
    40,423.43x = 8,914,549,235.29
  5. Step 5: Solve for x
    x = 8,914,549,235.29/40,423.43
  6. Step 6: Final answer
    x = 220,529.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.