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Finding the Third Proportional to 88,227 and 190,548

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Solution

The third proportional to 88,227 and 190,548 is: 411,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,227 : 190,548 = 190,548 : x
  2. Step 2: Convert to fraction form
    88,227/190,548 = 190,548/x
  3. Step 3: Cross multiply
    88,227x = 190,548 × 190,548
  4. Step 4: Simplify right side
    88,227x = 36,308,540,304
  5. Step 5: Solve for x
    x = 36,308,540,304/88,227
  6. Step 6: Final answer
    x = 411,535.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.