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Finding the Third Proportional to 85,846.50 and 186,470.06

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Solution

The third proportional to 85,846.50 and 186,470.06 is: 405,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,846.50 : 186,470.06 = 186,470.06 : x
  2. Step 2: Convert to fraction form
    85,846.50/186,470.06 = 186,470.06/x
  3. Step 3: Cross multiply
    85,846.50x = 186,470.06 × 186,470.06
  4. Step 4: Simplify right side
    85,846.50x = 34,771,084,208.75
  5. Step 5: Solve for x
    x = 34,771,084,208.75/85,846.50
  6. Step 6: Final answer
    x = 405,037.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.