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Finding the Third Proportional to 86,947 and 183,233

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Solution

The third proportional to 86,947 and 183,233 is: 386,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,947 : 183,233 = 183,233 : x
  2. Step 2: Convert to fraction form
    86,947/183,233 = 183,233/x
  3. Step 3: Cross multiply
    86,947x = 183,233 × 183,233
  4. Step 4: Simplify right side
    86,947x = 33,574,332,289
  5. Step 5: Solve for x
    x = 33,574,332,289/86,947
  6. Step 6: Final answer
    x = 386,147.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.