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Finding the Third Proportional to 159,208.88 and 216,335.81

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Solution

The third proportional to 159,208.88 and 216,335.81 is: 293,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,208.88 : 216,335.81 = 216,335.81 : x
  2. Step 2: Convert to fraction form
    159,208.88/216,335.81 = 216,335.81/x
  3. Step 3: Cross multiply
    159,208.88x = 216,335.81 × 216,335.81
  4. Step 4: Simplify right side
    159,208.88x = 46,801,183,770.04
  5. Step 5: Solve for x
    x = 46,801,183,770.04/159,208.88
  6. Step 6: Final answer
    x = 293,960.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.