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Finding the Third Proportional to 83,462.91 and 196,896.45

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Solution

The third proportional to 83,462.91 and 196,896.45 is: 464,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,462.91 : 196,896.45 = 196,896.45 : x
  2. Step 2: Convert to fraction form
    83,462.91/196,896.45 = 196,896.45/x
  3. Step 3: Cross multiply
    83,462.91x = 196,896.45 × 196,896.45
  4. Step 4: Simplify right side
    83,462.91x = 38,768,210,176.70
  5. Step 5: Solve for x
    x = 38,768,210,176.70/83,462.91
  6. Step 6: Final answer
    x = 464,496.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.