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Finding the Third Proportional to 45,809.75 and 99,453

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Solution

The third proportional to 45,809.75 and 99,453 is: 215,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,809.75 : 99,453 = 99,453 : x
  2. Step 2: Convert to fraction form
    45,809.75/99,453 = 99,453/x
  3. Step 3: Cross multiply
    45,809.75x = 99,453 × 99,453
  4. Step 4: Simplify right side
    45,809.75x = 9,890,899,209
  5. Step 5: Solve for x
    x = 9,890,899,209/45,809.75
  6. Step 6: Final answer
    x = 215,912.53

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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.