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Finding the Third Proportional to 89,364.94 and 186,080.63

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Solution

The third proportional to 89,364.94 and 186,080.63 is: 387,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,364.94 : 186,080.63 = 186,080.63 : x
  2. Step 2: Convert to fraction form
    89,364.94/186,080.63 = 186,080.63/x
  3. Step 3: Cross multiply
    89,364.94x = 186,080.63 × 186,080.63
  4. Step 4: Simplify right side
    89,364.94x = 34,625,999,000.39
  5. Step 5: Solve for x
    x = 34,625,999,000.39/89,364.94
  6. Step 6: Final answer
    x = 387,467.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.