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Finding the Third Proportional to 64,933.88 and 139,107.38

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Solution

The third proportional to 64,933.88 and 139,107.38 is: 298,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,933.88 : 139,107.38 = 139,107.38 : x
  2. Step 2: Convert to fraction form
    64,933.88/139,107.38 = 139,107.38/x
  3. Step 3: Cross multiply
    64,933.88x = 139,107.38 × 139,107.38
  4. Step 4: Simplify right side
    64,933.88x = 19,350,861,779.39
  5. Step 5: Solve for x
    x = 19,350,861,779.39/64,933.88
  6. Step 6: Final answer
    x = 298,008.73

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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.