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Finding the Third Proportional to 90,151 and 208,692

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Solution

The third proportional to 90,151 and 208,692 is: 483,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,151 : 208,692 = 208,692 : x
  2. Step 2: Convert to fraction form
    90,151/208,692 = 208,692/x
  3. Step 3: Cross multiply
    90,151x = 208,692 × 208,692
  4. Step 4: Simplify right side
    90,151x = 43,552,350,864
  5. Step 5: Solve for x
    x = 43,552,350,864/90,151
  6. Step 6: Final answer
    x = 483,104.47

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.