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Finding the Third Proportional to 88,360 and 189,904

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Solution

The third proportional to 88,360 and 189,904 is: 408,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,360 : 189,904 = 189,904 : x
  2. Step 2: Convert to fraction form
    88,360/189,904 = 189,904/x
  3. Step 3: Cross multiply
    88,360x = 189,904 × 189,904
  4. Step 4: Simplify right side
    88,360x = 36,063,529,216
  5. Step 5: Solve for x
    x = 36,063,529,216/88,360
  6. Step 6: Final answer
    x = 408,143.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.