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Finding the Third Proportional to 107,419.92 and 236,290.36

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Solution

The third proportional to 107,419.92 and 236,290.36 is: 519,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,419.92 : 236,290.36 = 236,290.36 : x
  2. Step 2: Convert to fraction form
    107,419.92/236,290.36 = 236,290.36/x
  3. Step 3: Cross multiply
    107,419.92x = 236,290.36 × 236,290.36
  4. Step 4: Simplify right side
    107,419.92x = 55,833,133,933.57
  5. Step 5: Solve for x
    x = 55,833,133,933.57/107,419.92
  6. Step 6: Final answer
    x = 519,765.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.