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Finding the Third Proportional to 86,483.81 and 189,994.31

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Solution

The third proportional to 86,483.81 and 189,994.31 is: 417,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,483.81 : 189,994.31 = 189,994.31 : x
  2. Step 2: Convert to fraction form
    86,483.81/189,994.31 = 189,994.31/x
  3. Step 3: Cross multiply
    86,483.81x = 189,994.31 × 189,994.31
  4. Step 4: Simplify right side
    86,483.81x = 36,097,838,782.35
  5. Step 5: Solve for x
    x = 36,097,838,782.35/86,483.81
  6. Step 6: Final answer
    x = 417,394.17

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