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Finding the Third Proportional to 109,434.38 and 238,042.13

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Solution

The third proportional to 109,434.38 and 238,042.13 is: 517,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,434.38 : 238,042.13 = 238,042.13 : x
  2. Step 2: Convert to fraction form
    109,434.38/238,042.13 = 238,042.13/x
  3. Step 3: Cross multiply
    109,434.38x = 238,042.13 × 238,042.13
  4. Step 4: Simplify right side
    109,434.38x = 56,664,053,274.52
  5. Step 5: Solve for x
    x = 56,664,053,274.52/109,434.38
  6. Step 6: Final answer
    x = 517,790.26

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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.