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Finding the Third Proportional to 45,220.78 and 96,445.69

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Solution

The third proportional to 45,220.78 and 96,445.69 is: 205,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,220.78 : 96,445.69 = 96,445.69 : x
  2. Step 2: Convert to fraction form
    45,220.78/96,445.69 = 96,445.69/x
  3. Step 3: Cross multiply
    45,220.78x = 96,445.69 × 96,445.69
  4. Step 4: Simplify right side
    45,220.78x = 9,301,770,637.35
  5. Step 5: Solve for x
    x = 9,301,770,637.35/45,220.78
  6. Step 6: Final answer
    x = 205,696.81

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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.