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Finding the Third Proportional to 138,711.94 and 208,068.19

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Solution

The third proportional to 138,711.94 and 208,068.19 is: 312,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,711.94 : 208,068.19 = 208,068.19 : x
  2. Step 2: Convert to fraction form
    138,711.94/208,068.19 = 208,068.19/x
  3. Step 3: Cross multiply
    138,711.94x = 208,068.19 × 208,068.19
  4. Step 4: Simplify right side
    138,711.94x = 43,292,370,649.54
  5. Step 5: Solve for x
    x = 43,292,370,649.54/138,711.94
  6. Step 6: Final answer
    x = 312,102.70

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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.