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Finding the Third Proportional to 95,323.22 and 203,312.81

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Solution

The third proportional to 95,323.22 and 203,312.81 is: 433,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,323.22 : 203,312.81 = 203,312.81 : x
  2. Step 2: Convert to fraction form
    95,323.22/203,312.81 = 203,312.81/x
  3. Step 3: Cross multiply
    95,323.22x = 203,312.81 × 203,312.81
  4. Step 4: Simplify right side
    95,323.22x = 41,336,099,726.66
  5. Step 5: Solve for x
    x = 41,336,099,726.66/95,323.22
  6. Step 6: Final answer
    x = 433,641.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.