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Finding the Third Proportional to 97,224 and 201,186

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Solution

The third proportional to 97,224 and 201,186 is: 416,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,224 : 201,186 = 201,186 : x
  2. Step 2: Convert to fraction form
    97,224/201,186 = 201,186/x
  3. Step 3: Cross multiply
    97,224x = 201,186 × 201,186
  4. Step 4: Simplify right side
    97,224x = 40,475,806,596
  5. Step 5: Solve for x
    x = 40,475,806,596/97,224
  6. Step 6: Final answer
    x = 416,314.97

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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.