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Finding the Third Proportional to 86,664.94 and 189,281.81

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Solution

The third proportional to 86,664.94 and 189,281.81 is: 413,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,664.94 : 189,281.81 = 189,281.81 : x
  2. Step 2: Convert to fraction form
    86,664.94/189,281.81 = 189,281.81/x
  3. Step 3: Cross multiply
    86,664.94x = 189,281.81 × 189,281.81
  4. Step 4: Simplify right side
    86,664.94x = 35,827,604,543.29
  5. Step 5: Solve for x
    x = 35,827,604,543.29/86,664.94
  6. Step 6: Final answer
    x = 413,403.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.