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Finding the Third Proportional to 85,043.25 and 185,628.38

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Solution

The third proportional to 85,043.25 and 185,628.38 is: 405,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,043.25 : 185,628.38 = 185,628.38 : x
  2. Step 2: Convert to fraction form
    85,043.25/185,628.38 = 185,628.38/x
  3. Step 3: Cross multiply
    85,043.25x = 185,628.38 × 185,628.38
  4. Step 4: Simplify right side
    85,043.25x = 34,457,893,605.14
  5. Step 5: Solve for x
    x = 34,457,893,605.14/85,043.25
  6. Step 6: Final answer
    x = 405,180.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.