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Finding the Third Proportional to 70,221.19 and 151,665.19

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Solution

The third proportional to 70,221.19 and 151,665.19 is: 327,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,221.19 : 151,665.19 = 151,665.19 : x
  2. Step 2: Convert to fraction form
    70,221.19/151,665.19 = 151,665.19/x
  3. Step 3: Cross multiply
    70,221.19x = 151,665.19 × 151,665.19
  4. Step 4: Simplify right side
    70,221.19x = 23,002,329,099.41
  5. Step 5: Solve for x
    x = 23,002,329,099.41/70,221.19
  6. Step 6: Final answer
    x = 327,569.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.