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Finding the Third Proportional to 97,194.94 and 150,852.38

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Solution

The third proportional to 97,194.94 and 150,852.38 is: 234,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,194.94 : 150,852.38 = 150,852.38 : x
  2. Step 2: Convert to fraction form
    97,194.94/150,852.38 = 150,852.38/x
  3. Step 3: Cross multiply
    97,194.94x = 150,852.38 × 150,852.38
  4. Step 4: Simplify right side
    97,194.94x = 22,756,439,043.14
  5. Step 5: Solve for x
    x = 22,756,439,043.14/97,194.94
  6. Step 6: Final answer
    x = 234,131.94

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Why These Related Problems?

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