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Finding the Third Proportional to 88,593.75 and 191,956.50

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Solution

The third proportional to 88,593.75 and 191,956.50 is: 415,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,593.75 : 191,956.50 = 191,956.50 : x
  2. Step 2: Convert to fraction form
    88,593.75/191,956.50 = 191,956.50/x
  3. Step 3: Cross multiply
    88,593.75x = 191,956.50 × 191,956.50
  4. Step 4: Simplify right side
    88,593.75x = 36,847,297,892.25
  5. Step 5: Solve for x
    x = 36,847,297,892.25/88,593.75
  6. Step 6: Final answer
    x = 415,913.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.