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Finding the Third Proportional to 88,177 and 190,293

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Solution

The third proportional to 88,177 and 190,293 is: 410,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,177 : 190,293 = 190,293 : x
  2. Step 2: Convert to fraction form
    88,177/190,293 = 190,293/x
  3. Step 3: Cross multiply
    88,177x = 190,293 × 190,293
  4. Step 4: Simplify right side
    88,177x = 36,211,425,849
  5. Step 5: Solve for x
    x = 36,211,425,849/88,177
  6. Step 6: Final answer
    x = 410,667.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.