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Finding the Third Proportional to 86,229.56 and 187,646.63

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Solution

The third proportional to 86,229.56 and 187,646.63 is: 408,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,229.56 : 187,646.63 = 187,646.63 : x
  2. Step 2: Convert to fraction form
    86,229.56/187,646.63 = 187,646.63/x
  3. Step 3: Cross multiply
    86,229.56x = 187,646.63 × 187,646.63
  4. Step 4: Simplify right side
    86,229.56x = 35,211,255,873.89
  5. Step 5: Solve for x
    x = 35,211,255,873.89/86,229.56
  6. Step 6: Final answer
    x = 408,343.20

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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.