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Finding the Third Proportional to 95,726.81 and 210,453.19

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Solution

The third proportional to 95,726.81 and 210,453.19 is: 462,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,726.81 : 210,453.19 = 210,453.19 : x
  2. Step 2: Convert to fraction form
    95,726.81/210,453.19 = 210,453.19/x
  3. Step 3: Cross multiply
    95,726.81x = 210,453.19 × 210,453.19
  4. Step 4: Simplify right side
    95,726.81x = 44,290,544,128.91
  5. Step 5: Solve for x
    x = 44,290,544,128.91/95,726.81
  6. Step 6: Final answer
    x = 462,676.47

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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.