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Finding the Third Proportional to 45,334.69 and 96,729.19

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Solution

The third proportional to 45,334.69 and 96,729.19 is: 206,388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,334.69 : 96,729.19 = 96,729.19 : x
  2. Step 2: Convert to fraction form
    45,334.69/96,729.19 = 96,729.19/x
  3. Step 3: Cross multiply
    45,334.69x = 96,729.19 × 96,729.19
  4. Step 4: Simplify right side
    45,334.69x = 9,356,535,714.41
  5. Step 5: Solve for x
    x = 9,356,535,714.41/45,334.69
  6. Step 6: Final answer
    x = 206,388.01

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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.