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Finding the Third Proportional to 40,696.88 and 87,234.19

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Solution

The third proportional to 40,696.88 and 87,234.19 is: 186,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,696.88 : 87,234.19 = 87,234.19 : x
  2. Step 2: Convert to fraction form
    40,696.88/87,234.19 = 87,234.19/x
  3. Step 3: Cross multiply
    40,696.88x = 87,234.19 × 87,234.19
  4. Step 4: Simplify right side
    40,696.88x = 7,609,803,468.79
  5. Step 5: Solve for x
    x = 7,609,803,468.79/40,696.88
  6. Step 6: Final answer
    x = 186,987.42

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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.