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Finding the Third Proportional to 97,416 and 150,228

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Solution

The third proportional to 97,416 and 150,228 is: 231,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,416 : 150,228 = 150,228 : x
  2. Step 2: Convert to fraction form
    97,416/150,228 = 150,228/x
  3. Step 3: Cross multiply
    97,416x = 150,228 × 150,228
  4. Step 4: Simplify right side
    97,416x = 22,568,451,984
  5. Step 5: Solve for x
    x = 22,568,451,984/97,416
  6. Step 6: Final answer
    x = 231,670.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.