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Finding the Third Proportional to 46,151.25 and 99,375

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Solution

The third proportional to 46,151.25 and 99,375 is: 213,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,151.25 : 99,375 = 99,375 : x
  2. Step 2: Convert to fraction form
    46,151.25/99,375 = 99,375/x
  3. Step 3: Cross multiply
    46,151.25x = 99,375 × 99,375
  4. Step 4: Simplify right side
    46,151.25x = 9,875,390,625
  5. Step 5: Solve for x
    x = 9,875,390,625/46,151.25
  6. Step 6: Final answer
    x = 213,978.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.