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Finding the Third Proportional to 86,476.50 and 189,351

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Solution

The third proportional to 86,476.50 and 189,351 is: 414,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,476.50 : 189,351 = 189,351 : x
  2. Step 2: Convert to fraction form
    86,476.50/189,351 = 189,351/x
  3. Step 3: Cross multiply
    86,476.50x = 189,351 × 189,351
  4. Step 4: Simplify right side
    86,476.50x = 35,853,801,201
  5. Step 5: Solve for x
    x = 35,853,801,201/86,476.50
  6. Step 6: Final answer
    x = 414,607.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.