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Finding the Third Proportional to 103,628.25 and 155,443.50

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Solution

The third proportional to 103,628.25 and 155,443.50 is: 233,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,628.25 : 155,443.50 = 155,443.50 : x
  2. Step 2: Convert to fraction form
    103,628.25/155,443.50 = 155,443.50/x
  3. Step 3: Cross multiply
    103,628.25x = 155,443.50 × 155,443.50
  4. Step 4: Simplify right side
    103,628.25x = 24,162,681,692.25
  5. Step 5: Solve for x
    x = 24,162,681,692.25/103,628.25
  6. Step 6: Final answer
    x = 233,166.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.