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Finding the Third Proportional to 64,486.13 and 137,796.19

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Solution

The third proportional to 64,486.13 and 137,796.19 is: 294,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,486.13 : 137,796.19 = 137,796.19 : x
  2. Step 2: Convert to fraction form
    64,486.13/137,796.19 = 137,796.19/x
  3. Step 3: Cross multiply
    64,486.13x = 137,796.19 × 137,796.19
  4. Step 4: Simplify right side
    64,486.13x = 18,987,789,289.54
  5. Step 5: Solve for x
    x = 18,987,789,289.54/64,486.13
  6. Step 6: Final answer
    x = 294,447.67

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Why These Related Problems?

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