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Finding the Third Proportional to 138,191.06 and 208,260.49

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Solution

The third proportional to 138,191.06 and 208,260.49 is: 313,858.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,191.06 : 208,260.49 = 208,260.49 : x
  2. Step 2: Convert to fraction form
    138,191.06/208,260.49 = 208,260.49/x
  3. Step 3: Cross multiply
    138,191.06x = 208,260.49 × 208,260.49
  4. Step 4: Simplify right side
    138,191.06x = 43,372,432,606.18
  5. Step 5: Solve for x
    x = 43,372,432,606.18/138,191.06
  6. Step 6: Final answer
    x = 313,858.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.