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Finding the Third Proportional to 88,214 and 192,290

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Solution

The third proportional to 88,214 and 192,290 is: 419,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,214 : 192,290 = 192,290 : x
  2. Step 2: Convert to fraction form
    88,214/192,290 = 192,290/x
  3. Step 3: Cross multiply
    88,214x = 192,290 × 192,290
  4. Step 4: Simplify right side
    88,214x = 36,975,444,100
  5. Step 5: Solve for x
    x = 36,975,444,100/88,214
  6. Step 6: Final answer
    x = 419,156.19

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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.