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Finding the Third Proportional to 109,431 and 238,035.38

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Solution

The third proportional to 109,431 and 238,035.38 is: 517,776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,431 : 238,035.38 = 238,035.38 : x
  2. Step 2: Convert to fraction form
    109,431/238,035.38 = 238,035.38/x
  3. Step 3: Cross multiply
    109,431x = 238,035.38 × 238,035.38
  4. Step 4: Simplify right side
    109,431x = 56,660,839,751.39
  5. Step 5: Solve for x
    x = 56,660,839,751.39/109,431
  6. Step 6: Final answer
    x = 517,776.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.