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Finding the Third Proportional to 95,593.50 and 210,004.31

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Solution

The third proportional to 95,593.50 and 210,004.31 is: 461,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,593.50 : 210,004.31 = 210,004.31 : x
  2. Step 2: Convert to fraction form
    95,593.50/210,004.31 = 210,004.31/x
  3. Step 3: Cross multiply
    95,593.50x = 210,004.31 × 210,004.31
  4. Step 4: Simplify right side
    95,593.50x = 44,101,811,268.60
  5. Step 5: Solve for x
    x = 44,101,811,268.60/95,593.50
  6. Step 6: Final answer
    x = 461,347.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.