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Finding the Third Proportional to 86,041.88 and 184,539.19

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Solution

The third proportional to 86,041.88 and 184,539.19 is: 395,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,041.88 : 184,539.19 = 184,539.19 : x
  2. Step 2: Convert to fraction form
    86,041.88/184,539.19 = 184,539.19/x
  3. Step 3: Cross multiply
    86,041.88x = 184,539.19 × 184,539.19
  4. Step 4: Simplify right side
    86,041.88x = 34,054,711,723.16
  5. Step 5: Solve for x
    x = 34,054,711,723.16/86,041.88
  6. Step 6: Final answer
    x = 395,792.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.