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Finding the Third Proportional to 86,078.25 and 187,403.63

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Solution

The third proportional to 86,078.25 and 187,403.63 is: 408,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,078.25 : 187,403.63 = 187,403.63 : x
  2. Step 2: Convert to fraction form
    86,078.25/187,403.63 = 187,403.63/x
  3. Step 3: Cross multiply
    86,078.25x = 187,403.63 × 187,403.63
  4. Step 4: Simplify right side
    86,078.25x = 35,120,118,663.14
  5. Step 5: Solve for x
    x = 35,120,118,663.14/86,078.25
  6. Step 6: Final answer
    x = 408,002.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.