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Finding the Third Proportional to 88,813 and 190,802

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Solution

The third proportional to 88,813 and 190,802 is: 409,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,813 : 190,802 = 190,802 : x
  2. Step 2: Convert to fraction form
    88,813/190,802 = 190,802/x
  3. Step 3: Cross multiply
    88,813x = 190,802 × 190,802
  4. Step 4: Simplify right side
    88,813x = 36,405,403,204
  5. Step 5: Solve for x
    x = 36,405,403,204/88,813
  6. Step 6: Final answer
    x = 409,910.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.