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Finding the Third Proportional to 106,515 and 226,003.50

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Solution

The third proportional to 106,515 and 226,003.50 is: 479,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,515 : 226,003.50 = 226,003.50 : x
  2. Step 2: Convert to fraction form
    106,515/226,003.50 = 226,003.50/x
  3. Step 3: Cross multiply
    106,515x = 226,003.50 × 226,003.50
  4. Step 4: Simplify right side
    106,515x = 51,077,582,012.25
  5. Step 5: Solve for x
    x = 51,077,582,012.25/106,515
  6. Step 6: Final answer
    x = 479,534.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.