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Finding the Third Proportional to 44,955 and 96,918.75

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Solution

The third proportional to 44,955 and 96,918.75 is: 208,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,955 : 96,918.75 = 96,918.75 : x
  2. Step 2: Convert to fraction form
    44,955/96,918.75 = 96,918.75/x
  3. Step 3: Cross multiply
    44,955x = 96,918.75 × 96,918.75
  4. Step 4: Simplify right side
    44,955x = 9,393,244,101.56
  5. Step 5: Solve for x
    x = 9,393,244,101.56/44,955
  6. Step 6: Final answer
    x = 208,947.71

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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.