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Finding the Third Proportional to 103,971.50 and 226,086.50

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Solution

The third proportional to 103,971.50 and 226,086.50 is: 491,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,971.50 : 226,086.50 = 226,086.50 : x
  2. Step 2: Convert to fraction form
    103,971.50/226,086.50 = 226,086.50/x
  3. Step 3: Cross multiply
    103,971.50x = 226,086.50 × 226,086.50
  4. Step 4: Simplify right side
    103,971.50x = 51,115,105,482.25
  5. Step 5: Solve for x
    x = 51,115,105,482.25/103,971.50
  6. Step 6: Final answer
    x = 491,626.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.