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Finding the Third Proportional to 95,442.05 and 183,913.03

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Solution

The third proportional to 95,442.05 and 183,913.03 is: 354,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,442.05 : 183,913.03 = 183,913.03 : x
  2. Step 2: Convert to fraction form
    95,442.05/183,913.03 = 183,913.03/x
  3. Step 3: Cross multiply
    95,442.05x = 183,913.03 × 183,913.03
  4. Step 4: Simplify right side
    95,442.05x = 33,824,003,063.56
  5. Step 5: Solve for x
    x = 33,824,003,063.56/95,442.05
  6. Step 6: Final answer
    x = 354,393.10

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.