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Finding the Third Proportional to 97,375 and 150,369

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Solution

The third proportional to 97,375 and 150,369 is: 232,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,375 : 150,369 = 150,369 : x
  2. Step 2: Convert to fraction form
    97,375/150,369 = 150,369/x
  3. Step 3: Cross multiply
    97,375x = 150,369 × 150,369
  4. Step 4: Simplify right side
    97,375x = 22,610,836,161
  5. Step 5: Solve for x
    x = 22,610,836,161/97,375
  6. Step 6: Final answer
    x = 232,203.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.