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Finding the Third Proportional to 94,692.75 and 202,518.75

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Solution

The third proportional to 94,692.75 and 202,518.75 is: 433,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,692.75 : 202,518.75 = 202,518.75 : x
  2. Step 2: Convert to fraction form
    94,692.75/202,518.75 = 202,518.75/x
  3. Step 3: Cross multiply
    94,692.75x = 202,518.75 × 202,518.75
  4. Step 4: Simplify right side
    94,692.75x = 41,013,844,101.56
  5. Step 5: Solve for x
    x = 41,013,844,101.56/94,692.75
  6. Step 6: Final answer
    x = 433,125.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.