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Finding the Third Proportional to 138,849.19 and 209,987.44

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Solution

The third proportional to 138,849.19 and 209,987.44 is: 317,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,849.19 : 209,987.44 = 209,987.44 : x
  2. Step 2: Convert to fraction form
    138,849.19/209,987.44 = 209,987.44/x
  3. Step 3: Cross multiply
    138,849.19x = 209,987.44 × 209,987.44
  4. Step 4: Simplify right side
    138,849.19x = 44,094,723,907.82
  5. Step 5: Solve for x
    x = 44,094,723,907.82/138,849.19
  6. Step 6: Final answer
    x = 317,572.79

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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.