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Finding the Third Proportional to 132,210.98 and 201,416.41

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Solution

The third proportional to 132,210.98 and 201,416.41 is: 306,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,210.98 : 201,416.41 = 201,416.41 : x
  2. Step 2: Convert to fraction form
    132,210.98/201,416.41 = 201,416.41/x
  3. Step 3: Cross multiply
    132,210.98x = 201,416.41 × 201,416.41
  4. Step 4: Simplify right side
    132,210.98x = 40,568,571,853.80
  5. Step 5: Solve for x
    x = 40,568,571,853.80/132,210.98
  6. Step 6: Final answer
    x = 306,847.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.