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Finding the Third Proportional to 84,439.88 and 185,487.38

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Solution

The third proportional to 84,439.88 and 185,487.38 is: 407,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,439.88 : 185,487.38 = 185,487.38 : x
  2. Step 2: Convert to fraction form
    84,439.88/185,487.38 = 185,487.38/x
  3. Step 3: Cross multiply
    84,439.88x = 185,487.38 × 185,487.38
  4. Step 4: Simplify right side
    84,439.88x = 34,405,566,284.39
  5. Step 5: Solve for x
    x = 34,405,566,284.39/84,439.88
  6. Step 6: Final answer
    x = 407,456.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.