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Finding the Third Proportional to 47,795.06 and 97,663.22

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Solution

The third proportional to 47,795.06 and 97,663.22 is: 199,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,795.06 : 97,663.22 = 97,663.22 : x
  2. Step 2: Convert to fraction form
    47,795.06/97,663.22 = 97,663.22/x
  3. Step 3: Cross multiply
    47,795.06x = 97,663.22 × 97,663.22
  4. Step 4: Simplify right side
    47,795.06x = 9,538,104,296.61
  5. Step 5: Solve for x
    x = 9,538,104,296.61/47,795.06
  6. Step 6: Final answer
    x = 199,562.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.