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Finding the Third Proportional to 40,296.23 and 86,539.01

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Solution

The third proportional to 40,296.23 and 86,539.01 is: 185,848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,296.23 : 86,539.01 = 86,539.01 : x
  2. Step 2: Convert to fraction form
    40,296.23/86,539.01 = 86,539.01/x
  3. Step 3: Cross multiply
    40,296.23x = 86,539.01 × 86,539.01
  4. Step 4: Simplify right side
    40,296.23x = 7,488,999,873.17
  5. Step 5: Solve for x
    x = 7,488,999,873.17/40,296.23
  6. Step 6: Final answer
    x = 185,848.63

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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.