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Finding the Third Proportional to 86,488 and 190,001

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Solution

The third proportional to 86,488 and 190,001 is: 417,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,488 : 190,001 = 190,001 : x
  2. Step 2: Convert to fraction form
    86,488/190,001 = 190,001/x
  3. Step 3: Cross multiply
    86,488x = 190,001 × 190,001
  4. Step 4: Simplify right side
    86,488x = 36,100,380,001
  5. Step 5: Solve for x
    x = 36,100,380,001/86,488
  6. Step 6: Final answer
    x = 417,403.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.