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Finding the Third Proportional to 70,416.84 and 150,849.84

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Solution

The third proportional to 70,416.84 and 150,849.84 is: 323,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416.84 : 150,849.84 = 150,849.84 : x
  2. Step 2: Convert to fraction form
    70,416.84/150,849.84 = 150,849.84/x
  3. Step 3: Cross multiply
    70,416.84x = 150,849.84 × 150,849.84
  4. Step 4: Simplify right side
    70,416.84x = 22,755,675,359.40
  5. Step 5: Solve for x
    x = 22,755,675,359.40/70,416.84
  6. Step 6: Final answer
    x = 323,156.71

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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.