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Finding the Third Proportional to 85,953.84 and 186,698.44

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Solution

The third proportional to 85,953.84 and 186,698.44 is: 405,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,953.84 : 186,698.44 = 186,698.44 : x
  2. Step 2: Convert to fraction form
    85,953.84/186,698.44 = 186,698.44/x
  3. Step 3: Cross multiply
    85,953.84x = 186,698.44 × 186,698.44
  4. Step 4: Simplify right side
    85,953.84x = 34,856,306,564.94
  5. Step 5: Solve for x
    x = 34,856,306,564.94/85,953.84
  6. Step 6: Final answer
    x = 405,523.54

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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.