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Finding the Third Proportional to 85,100.63 and 185,783.63

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Solution

The third proportional to 85,100.63 and 185,783.63 is: 405,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,100.63 : 185,783.63 = 185,783.63 : x
  2. Step 2: Convert to fraction form
    85,100.63/185,783.63 = 185,783.63/x
  3. Step 3: Cross multiply
    85,100.63x = 185,783.63 × 185,783.63
  4. Step 4: Simplify right side
    85,100.63x = 34,515,555,318.14
  5. Step 5: Solve for x
    x = 34,515,555,318.14/85,100.63
  6. Step 6: Final answer
    x = 405,585.22

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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.