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Finding the Third Proportional to 95,466.09 and 202,003.88

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Solution

The third proportional to 95,466.09 and 202,003.88 is: 427,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,466.09 : 202,003.88 = 202,003.88 : x
  2. Step 2: Convert to fraction form
    95,466.09/202,003.88 = 202,003.88/x
  3. Step 3: Cross multiply
    95,466.09x = 202,003.88 × 202,003.88
  4. Step 4: Simplify right side
    95,466.09x = 40,805,565,515.02
  5. Step 5: Solve for x
    x = 40,805,565,515.02/95,466.09
  6. Step 6: Final answer
    x = 427,435.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.