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Finding the Third Proportional to 102,692.75 and 222,233.50

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Solution

The third proportional to 102,692.75 and 222,233.50 is: 480,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692.75 : 222,233.50 = 222,233.50 : x
  2. Step 2: Convert to fraction form
    102,692.75/222,233.50 = 222,233.50/x
  3. Step 3: Cross multiply
    102,692.75x = 222,233.50 × 222,233.50
  4. Step 4: Simplify right side
    102,692.75x = 49,387,728,522.25
  5. Step 5: Solve for x
    x = 49,387,728,522.25/102,692.75
  6. Step 6: Final answer
    x = 480,927.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.