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Finding the Third Proportional to 83,412.75 and 196,823.25

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Solution

The third proportional to 83,412.75 and 196,823.25 is: 464,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,412.75 : 196,823.25 = 196,823.25 : x
  2. Step 2: Convert to fraction form
    83,412.75/196,823.25 = 196,823.25/x
  3. Step 3: Cross multiply
    83,412.75x = 196,823.25 × 196,823.25
  4. Step 4: Simplify right side
    83,412.75x = 38,739,391,740.56
  5. Step 5: Solve for x
    x = 38,739,391,740.56/83,412.75
  6. Step 6: Final answer
    x = 464,430.10

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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.