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Finding the Third Proportional to 86,906.25 and 190,420.88

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Solution

The third proportional to 86,906.25 and 190,420.88 is: 417,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,906.25 : 190,420.88 = 190,420.88 : x
  2. Step 2: Convert to fraction form
    86,906.25/190,420.88 = 190,420.88/x
  3. Step 3: Cross multiply
    86,906.25x = 190,420.88 × 190,420.88
  4. Step 4: Simplify right side
    86,906.25x = 36,260,109,635.77
  5. Step 5: Solve for x
    x = 36,260,109,635.77/86,906.25
  6. Step 6: Final answer
    x = 417,232.47

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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.