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Finding the Third Proportional to 95,664.16 and 210,336.43

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Solution

The third proportional to 95,664.16 and 210,336.43 is: 462,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,664.16 : 210,336.43 = 210,336.43 : x
  2. Step 2: Convert to fraction form
    95,664.16/210,336.43 = 210,336.43/x
  3. Step 3: Cross multiply
    95,664.16x = 210,336.43 × 210,336.43
  4. Step 4: Simplify right side
    95,664.16x = 44,241,415,296.94
  5. Step 5: Solve for x
    x = 44,241,415,296.94/95,664.16
  6. Step 6: Final answer
    x = 462,465.92

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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.