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Finding the Third Proportional to 38,156.06 and 77,390.44

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Solution

The third proportional to 38,156.06 and 77,390.44 is: 156,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,156.06 : 77,390.44 = 77,390.44 : x
  2. Step 2: Convert to fraction form
    38,156.06/77,390.44 = 77,390.44/x
  3. Step 3: Cross multiply
    38,156.06x = 77,390.44 × 77,390.44
  4. Step 4: Simplify right side
    38,156.06x = 5,989,279,816.44
  5. Step 5: Solve for x
    x = 5,989,279,816.44/38,156.06
  6. Step 6: Final answer
    x = 156,967.97

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.