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Finding the Third Proportional to 86,675.06 and 189,302.06

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Solution

The third proportional to 86,675.06 and 189,302.06 is: 413,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,675.06 : 189,302.06 = 189,302.06 : x
  2. Step 2: Convert to fraction form
    86,675.06/189,302.06 = 189,302.06/x
  3. Step 3: Cross multiply
    86,675.06x = 189,302.06 × 189,302.06
  4. Step 4: Simplify right side
    86,675.06x = 35,835,270,866.75
  5. Step 5: Solve for x
    x = 35,835,270,866.75/86,675.06
  6. Step 6: Final answer
    x = 413,443.84

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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.