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Finding the Third Proportional to 103,188 and 154,308

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Solution

The third proportional to 103,188 and 154,308 is: 230,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,188 : 154,308 = 154,308 : x
  2. Step 2: Convert to fraction form
    103,188/154,308 = 154,308/x
  3. Step 3: Cross multiply
    103,188x = 154,308 × 154,308
  4. Step 4: Simplify right side
    103,188x = 23,810,958,864
  5. Step 5: Solve for x
    x = 23,810,958,864/103,188
  6. Step 6: Final answer
    x = 230,753.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.