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Finding the Third Proportional to 86,046.15 and 183,915.43

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Solution

The third proportional to 86,046.15 and 183,915.43 is: 393,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,046.15 : 183,915.43 = 183,915.43 : x
  2. Step 2: Convert to fraction form
    86,046.15/183,915.43 = 183,915.43/x
  3. Step 3: Cross multiply
    86,046.15x = 183,915.43 × 183,915.43
  4. Step 4: Simplify right side
    86,046.15x = 33,824,886,848.68
  5. Step 5: Solve for x
    x = 33,824,886,848.68/86,046.15
  6. Step 6: Final answer
    x = 393,101.69

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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.