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Finding the Third Proportional to 86,808 and 190,236

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Solution

The third proportional to 86,808 and 190,236 is: 416,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,808 : 190,236 = 190,236 : x
  2. Step 2: Convert to fraction form
    86,808/190,236 = 190,236/x
  3. Step 3: Cross multiply
    86,808x = 190,236 × 190,236
  4. Step 4: Simplify right side
    86,808x = 36,189,735,696
  5. Step 5: Solve for x
    x = 36,189,735,696/86,808
  6. Step 6: Final answer
    x = 416,894.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.