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Finding the Third Proportional to 96,185.29 and 213,129.98

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Solution

The third proportional to 96,185.29 and 213,129.98 is: 472,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,185.29 : 213,129.98 = 213,129.98 : x
  2. Step 2: Convert to fraction form
    96,185.29/213,129.98 = 213,129.98/x
  3. Step 3: Cross multiply
    96,185.29x = 213,129.98 × 213,129.98
  4. Step 4: Simplify right side
    96,185.29x = 45,424,390,239.69
  5. Step 5: Solve for x
    x = 45,424,390,239.69/96,185.29
  6. Step 6: Final answer
    x = 472,259.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.