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Finding the Third Proportional to 45,015.75 and 97,959.38

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Solution

The third proportional to 45,015.75 and 97,959.38 is: 213,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,015.75 : 97,959.38 = 97,959.38 : x
  2. Step 2: Convert to fraction form
    45,015.75/97,959.38 = 97,959.38/x
  3. Step 3: Cross multiply
    45,015.75x = 97,959.38 × 97,959.38
  4. Step 4: Simplify right side
    45,015.75x = 9,596,039,150.39
  5. Step 5: Solve for x
    x = 9,596,039,150.39/45,015.75
  6. Step 6: Final answer
    x = 213,170.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.