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Finding the Third Proportional to 47,054.25 and 101,496.38

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Solution

The third proportional to 47,054.25 and 101,496.38 is: 218,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,054.25 : 101,496.38 = 101,496.38 : x
  2. Step 2: Convert to fraction form
    47,054.25/101,496.38 = 101,496.38/x
  3. Step 3: Cross multiply
    47,054.25x = 101,496.38 × 101,496.38
  4. Step 4: Simplify right side
    47,054.25x = 10,301,514,138.14
  5. Step 5: Solve for x
    x = 10,301,514,138.14/47,054.25
  6. Step 6: Final answer
    x = 218,928.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.