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Finding the Third Proportional to 94,415.47 and 193,193.07

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Solution

The third proportional to 94,415.47 and 193,193.07 is: 395,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,415.47 : 193,193.07 = 193,193.07 : x
  2. Step 2: Convert to fraction form
    94,415.47/193,193.07 = 193,193.07/x
  3. Step 3: Cross multiply
    94,415.47x = 193,193.07 × 193,193.07
  4. Step 4: Simplify right side
    94,415.47x = 37,323,561,662.11
  5. Step 5: Solve for x
    x = 37,323,561,662.11/94,415.47
  6. Step 6: Final answer
    x = 395,311.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.