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Finding the Third Proportional to 106,477.88 and 227,729.63

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Solution

The third proportional to 106,477.88 and 227,729.63 is: 487,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,477.88 : 227,729.63 = 227,729.63 : x
  2. Step 2: Convert to fraction form
    106,477.88/227,729.63 = 227,729.63/x
  3. Step 3: Cross multiply
    106,477.88x = 227,729.63 × 227,729.63
  4. Step 4: Simplify right side
    106,477.88x = 51,860,782,102.64
  5. Step 5: Solve for x
    x = 51,860,782,102.64/106,477.88
  6. Step 6: Final answer
    x = 487,056.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.