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Finding the Third Proportional to 45,387 and 96,180.75

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Solution

The third proportional to 45,387 and 96,180.75 is: 203,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,387 : 96,180.75 = 96,180.75 : x
  2. Step 2: Convert to fraction form
    45,387/96,180.75 = 96,180.75/x
  3. Step 3: Cross multiply
    45,387x = 96,180.75 × 96,180.75
  4. Step 4: Simplify right side
    45,387x = 9,250,736,670.56
  5. Step 5: Solve for x
    x = 9,250,736,670.56/45,387
  6. Step 6: Final answer
    x = 203,819.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.