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Finding the Third Proportional to 97,205.06 and 150,182.44

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Solution

The third proportional to 97,205.06 and 150,182.44 is: 232,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,205.06 : 150,182.44 = 150,182.44 : x
  2. Step 2: Convert to fraction form
    97,205.06/150,182.44 = 150,182.44/x
  3. Step 3: Cross multiply
    97,205.06x = 150,182.44 × 150,182.44
  4. Step 4: Simplify right side
    97,205.06x = 22,554,764,533.44
  5. Step 5: Solve for x
    x = 22,554,764,533.44/97,205.06
  6. Step 6: Final answer
    x = 232,032.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.