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Finding the Third Proportional to 86,548.50 and 186,036.75

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Solution

The third proportional to 86,548.50 and 186,036.75 is: 399,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,548.50 : 186,036.75 = 186,036.75 : x
  2. Step 2: Convert to fraction form
    86,548.50/186,036.75 = 186,036.75/x
  3. Step 3: Cross multiply
    86,548.50x = 186,036.75 × 186,036.75
  4. Step 4: Simplify right side
    86,548.50x = 34,609,672,350.56
  5. Step 5: Solve for x
    x = 34,609,672,350.56/86,548.50
  6. Step 6: Final answer
    x = 399,887.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.