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Finding the Third Proportional to 86,988.94 and 184,639.50

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Solution

The third proportional to 86,988.94 and 184,639.50 is: 391,908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,988.94 : 184,639.50 = 184,639.50 : x
  2. Step 2: Convert to fraction form
    86,988.94/184,639.50 = 184,639.50/x
  3. Step 3: Cross multiply
    86,988.94x = 184,639.50 × 184,639.50
  4. Step 4: Simplify right side
    86,988.94x = 34,091,744,960.25
  5. Step 5: Solve for x
    x = 34,091,744,960.25/86,988.94
  6. Step 6: Final answer
    x = 391,908.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.