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Finding the Third Proportional to 85,538.25 and 188,248.50

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Solution

The third proportional to 85,538.25 and 188,248.50 is: 414,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,538.25 : 188,248.50 = 188,248.50 : x
  2. Step 2: Convert to fraction form
    85,538.25/188,248.50 = 188,248.50/x
  3. Step 3: Cross multiply
    85,538.25x = 188,248.50 × 188,248.50
  4. Step 4: Simplify right side
    85,538.25x = 35,437,497,752.25
  5. Step 5: Solve for x
    x = 35,437,497,752.25/85,538.25
  6. Step 6: Final answer
    x = 414,288.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.