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Finding the Third Proportional to 46,500.75 and 107,959.50

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Solution

The third proportional to 46,500.75 and 107,959.50 is: 250,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,500.75 : 107,959.50 = 107,959.50 : x
  2. Step 2: Convert to fraction form
    46,500.75/107,959.50 = 107,959.50/x
  3. Step 3: Cross multiply
    46,500.75x = 107,959.50 × 107,959.50
  4. Step 4: Simplify right side
    46,500.75x = 11,655,253,640.25
  5. Step 5: Solve for x
    x = 11,655,253,640.25/46,500.75
  6. Step 6: Final answer
    x = 250,646.57

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.