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Finding the Third Proportional to 45,306 and 96,648.75

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Solution

The third proportional to 45,306 and 96,648.75 is: 206,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,306 : 96,648.75 = 96,648.75 : x
  2. Step 2: Convert to fraction form
    45,306/96,648.75 = 96,648.75/x
  3. Step 3: Cross multiply
    45,306x = 96,648.75 × 96,648.75
  4. Step 4: Simplify right side
    45,306x = 9,340,980,876.56
  5. Step 5: Solve for x
    x = 9,340,980,876.56/45,306
  6. Step 6: Final answer
    x = 206,175.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.