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Finding the Third Proportional to 97,246.75 and 201,243

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Solution

The third proportional to 97,246.75 and 201,243 is: 416,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,246.75 : 201,243 = 201,243 : x
  2. Step 2: Convert to fraction form
    97,246.75/201,243 = 201,243/x
  3. Step 3: Cross multiply
    97,246.75x = 201,243 × 201,243
  4. Step 4: Simplify right side
    97,246.75x = 40,498,745,049
  5. Step 5: Solve for x
    x = 40,498,745,049/97,246.75
  6. Step 6: Final answer
    x = 416,453.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.