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Finding the Third Proportional to 91,029.50 and 186,433

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Solution

The third proportional to 91,029.50 and 186,433 is: 381,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,029.50 : 186,433 = 186,433 : x
  2. Step 2: Convert to fraction form
    91,029.50/186,433 = 186,433/x
  3. Step 3: Cross multiply
    91,029.50x = 186,433 × 186,433
  4. Step 4: Simplify right side
    91,029.50x = 34,757,263,489
  5. Step 5: Solve for x
    x = 34,757,263,489/91,029.50
  6. Step 6: Final answer
    x = 381,824.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.