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Finding the Third Proportional to 83,346.75 and 196,627.50

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Solution

The third proportional to 83,346.75 and 196,627.50 is: 463,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,346.75 : 196,627.50 = 196,627.50 : x
  2. Step 2: Convert to fraction form
    83,346.75/196,627.50 = 196,627.50/x
  3. Step 3: Cross multiply
    83,346.75x = 196,627.50 × 196,627.50
  4. Step 4: Simplify right side
    83,346.75x = 38,662,373,756.25
  5. Step 5: Solve for x
    x = 38,662,373,756.25/83,346.75
  6. Step 6: Final answer
    x = 463,873.80

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