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Finding the Third Proportional to 103,306.50 and 222,367.50

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Solution

The third proportional to 103,306.50 and 222,367.50 is: 478,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,306.50 : 222,367.50 = 222,367.50 : x
  2. Step 2: Convert to fraction form
    103,306.50/222,367.50 = 222,367.50/x
  3. Step 3: Cross multiply
    103,306.50x = 222,367.50 × 222,367.50
  4. Step 4: Simplify right side
    103,306.50x = 49,447,305,056.25
  5. Step 5: Solve for x
    x = 49,447,305,056.25/103,306.50
  6. Step 6: Final answer
    x = 478,646.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.