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Finding the Third Proportional to 45,936 and 100,075.50

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Solution

The third proportional to 45,936 and 100,075.50 is: 218,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,936 : 100,075.50 = 100,075.50 : x
  2. Step 2: Convert to fraction form
    45,936/100,075.50 = 100,075.50/x
  3. Step 3: Cross multiply
    45,936x = 100,075.50 × 100,075.50
  4. Step 4: Simplify right side
    45,936x = 10,015,105,700.25
  5. Step 5: Solve for x
    x = 10,015,105,700.25/45,936
  6. Step 6: Final answer
    x = 218,023.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.