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Finding the Third Proportional to 45,172.69 and 99,285.75

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Solution

The third proportional to 45,172.69 and 99,285.75 is: 218,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,172.69 : 99,285.75 = 99,285.75 : x
  2. Step 2: Convert to fraction form
    45,172.69/99,285.75 = 99,285.75/x
  3. Step 3: Cross multiply
    45,172.69x = 99,285.75 × 99,285.75
  4. Step 4: Simplify right side
    45,172.69x = 9,857,660,153.06
  5. Step 5: Solve for x
    x = 9,857,660,153.06/45,172.69
  6. Step 6: Final answer
    x = 218,221.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.