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Finding the Third Proportional to 86,947.88 and 183,234.38

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Solution

The third proportional to 86,947.88 and 183,234.38 is: 386,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,947.88 : 183,234.38 = 183,234.38 : x
  2. Step 2: Convert to fraction form
    86,947.88/183,234.38 = 183,234.38/x
  3. Step 3: Cross multiply
    86,947.88x = 183,234.38 × 183,234.38
  4. Step 4: Simplify right side
    86,947.88x = 33,574,836,181.64
  5. Step 5: Solve for x
    x = 33,574,836,181.64/86,947.88
  6. Step 6: Final answer
    x = 386,149.01

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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.