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Finding the Third Proportional to 84,498.19 and 196,480.69

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Solution

The third proportional to 84,498.19 and 196,480.69 is: 456,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,498.19 : 196,480.69 = 196,480.69 : x
  2. Step 2: Convert to fraction form
    84,498.19/196,480.69 = 196,480.69/x
  3. Step 3: Cross multiply
    84,498.19x = 196,480.69 × 196,480.69
  4. Step 4: Simplify right side
    84,498.19x = 38,604,660,560.47
  5. Step 5: Solve for x
    x = 38,604,660,560.47/84,498.19
  6. Step 6: Final answer
    x = 456,869.69

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.