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Finding the Third Proportional to 46,496.53 and 100,727.30

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Solution

The third proportional to 46,496.53 and 100,727.30 is: 218,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,496.53 : 100,727.30 = 100,727.30 : x
  2. Step 2: Convert to fraction form
    46,496.53/100,727.30 = 100,727.30/x
  3. Step 3: Cross multiply
    46,496.53x = 100,727.30 × 100,727.30
  4. Step 4: Simplify right side
    46,496.53x = 10,145,988,335.74
  5. Step 5: Solve for x
    x = 10,145,988,335.74/46,496.53
  6. Step 6: Final answer
    x = 218,209.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.