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Finding the Third Proportional to 103,991.34 and 224,008.03

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Solution

The third proportional to 103,991.34 and 224,008.03 is: 482,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,991.34 : 224,008.03 = 224,008.03 : x
  2. Step 2: Convert to fraction form
    103,991.34/224,008.03 = 224,008.03/x
  3. Step 3: Cross multiply
    103,991.34x = 224,008.03 × 224,008.03
  4. Step 4: Simplify right side
    103,991.34x = 50,179,598,064.50
  5. Step 5: Solve for x
    x = 50,179,598,064.50/103,991.34
  6. Step 6: Final answer
    x = 482,536.30

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