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Finding the Third Proportional to 136,186.31 and 277,905.94

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Solution

The third proportional to 136,186.31 and 277,905.94 is: 567,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,186.31 : 277,905.94 = 277,905.94 : x
  2. Step 2: Convert to fraction form
    136,186.31/277,905.94 = 277,905.94/x
  3. Step 3: Cross multiply
    136,186.31x = 277,905.94 × 277,905.94
  4. Step 4: Simplify right side
    136,186.31x = 77,231,710,097.75
  5. Step 5: Solve for x
    x = 77,231,710,097.75/136,186.31
  6. Step 6: Final answer
    x = 567,103.32

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.