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Finding the Third Proportional to 44,631 and 92,952.56

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Solution

The third proportional to 44,631 and 92,952.56 is: 193,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,631 : 92,952.56 = 92,952.56 : x
  2. Step 2: Convert to fraction form
    44,631/92,952.56 = 92,952.56/x
  3. Step 3: Cross multiply
    44,631x = 92,952.56 × 92,952.56
  4. Step 4: Simplify right side
    44,631x = 8,640,178,875.32
  5. Step 5: Solve for x
    x = 8,640,178,875.32/44,631
  6. Step 6: Final answer
    x = 193,591.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.