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Finding the Third Proportional to 38,190.38 and 90,297

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Solution

The third proportional to 38,190.38 and 90,297 is: 213,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,190.38 : 90,297 = 90,297 : x
  2. Step 2: Convert to fraction form
    38,190.38/90,297 = 90,297/x
  3. Step 3: Cross multiply
    38,190.38x = 90,297 × 90,297
  4. Step 4: Simplify right side
    38,190.38x = 8,153,548,209
  5. Step 5: Solve for x
    x = 8,153,548,209/38,190.38
  6. Step 6: Final answer
    x = 213,497.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.