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Finding the Third Proportional to 103,421.18 and 222,675.33

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Solution

The third proportional to 103,421.18 and 222,675.33 is: 479,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,421.18 : 222,675.33 = 222,675.33 : x
  2. Step 2: Convert to fraction form
    103,421.18/222,675.33 = 222,675.33/x
  3. Step 3: Cross multiply
    103,421.18x = 222,675.33 × 222,675.33
  4. Step 4: Simplify right side
    103,421.18x = 49,584,301,755.58
  5. Step 5: Solve for x
    x = 49,584,301,755.58/103,421.18
  6. Step 6: Final answer
    x = 479,440.50

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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.