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Finding the Third Proportional to 44,454 and 104,932.50

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Solution

The third proportional to 44,454 and 104,932.50 is: 247,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,454 : 104,932.50 = 104,932.50 : x
  2. Step 2: Convert to fraction form
    44,454/104,932.50 = 104,932.50/x
  3. Step 3: Cross multiply
    44,454x = 104,932.50 × 104,932.50
  4. Step 4: Simplify right side
    44,454x = 11,010,829,556.25
  5. Step 5: Solve for x
    x = 11,010,829,556.25/44,454
  6. Step 6: Final answer
    x = 247,690.41

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.