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Finding the Third Proportional to 83,421.50 and 196,840.75

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Solution

The third proportional to 83,421.50 and 196,840.75 is: 464,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,421.50 : 196,840.75 = 196,840.75 : x
  2. Step 2: Convert to fraction form
    83,421.50/196,840.75 = 196,840.75/x
  3. Step 3: Cross multiply
    83,421.50x = 196,840.75 × 196,840.75
  4. Step 4: Simplify right side
    83,421.50x = 38,746,280,860.56
  5. Step 5: Solve for x
    x = 38,746,280,860.56/83,421.50
  6. Step 6: Final answer
    x = 464,463.97

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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.