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Finding the Third Proportional to 88,238 and 188,788

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Solution

The third proportional to 88,238 and 188,788 is: 403,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,238 : 188,788 = 188,788 : x
  2. Step 2: Convert to fraction form
    88,238/188,788 = 188,788/x
  3. Step 3: Cross multiply
    88,238x = 188,788 × 188,788
  4. Step 4: Simplify right side
    88,238x = 35,640,908,944
  5. Step 5: Solve for x
    x = 35,640,908,944/88,238
  6. Step 6: Final answer
    x = 403,917.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.