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Finding the Third Proportional to 48,820.50 and 106,299

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Solution

The third proportional to 48,820.50 and 106,299 is: 231,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,820.50 : 106,299 = 106,299 : x
  2. Step 2: Convert to fraction form
    48,820.50/106,299 = 106,299/x
  3. Step 3: Cross multiply
    48,820.50x = 106,299 × 106,299
  4. Step 4: Simplify right side
    48,820.50x = 11,299,477,401
  5. Step 5: Solve for x
    x = 11,299,477,401/48,820.50
  6. Step 6: Final answer
    x = 231,449.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.