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Finding the Third Proportional to 86,802 and 190,281

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Solution

The third proportional to 86,802 and 190,281 is: 417,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,802 : 190,281 = 190,281 : x
  2. Step 2: Convert to fraction form
    86,802/190,281 = 190,281/x
  3. Step 3: Cross multiply
    86,802x = 190,281 × 190,281
  4. Step 4: Simplify right side
    86,802x = 36,206,858,961
  5. Step 5: Solve for x
    x = 36,206,858,961/86,802
  6. Step 6: Final answer
    x = 417,120.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.