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Finding the Third Proportional to 95,745.80 and 208,334.53

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Solution

The third proportional to 95,745.80 and 208,334.53 is: 453,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,745.80 : 208,334.53 = 208,334.53 : x
  2. Step 2: Convert to fraction form
    95,745.80/208,334.53 = 208,334.53/x
  3. Step 3: Cross multiply
    95,745.80x = 208,334.53 × 208,334.53
  4. Step 4: Simplify right side
    95,745.80x = 43,403,276,911.16
  5. Step 5: Solve for x
    x = 43,403,276,911.16/95,745.80
  6. Step 6: Final answer
    x = 453,317.83

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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.