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Finding the Third Proportional to 44,455 and 104,933.50

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Solution

The third proportional to 44,455 and 104,933.50 is: 247,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,455 : 104,933.50 = 104,933.50 : x
  2. Step 2: Convert to fraction form
    44,455/104,933.50 = 104,933.50/x
  3. Step 3: Cross multiply
    44,455x = 104,933.50 × 104,933.50
  4. Step 4: Simplify right side
    44,455x = 11,011,039,422.25
  5. Step 5: Solve for x
    x = 11,011,039,422.25/44,455
  6. Step 6: Final answer
    x = 247,689.56

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Why These Related Problems?

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