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Finding the Third Proportional to 86,946 and 183,231.75

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Solution

The third proportional to 86,946 and 183,231.75 is: 386,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,946 : 183,231.75 = 183,231.75 : x
  2. Step 2: Convert to fraction form
    86,946/183,231.75 = 183,231.75/x
  3. Step 3: Cross multiply
    86,946x = 183,231.75 × 183,231.75
  4. Step 4: Simplify right side
    86,946x = 33,573,874,208.06
  5. Step 5: Solve for x
    x = 33,573,874,208.06/86,946
  6. Step 6: Final answer
    x = 386,146.28

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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.