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Finding the Third Proportional to 138,189 and 207,242.88

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Solution

The third proportional to 138,189 and 207,242.88 is: 310,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,189 : 207,242.88 = 207,242.88 : x
  2. Step 2: Convert to fraction form
    138,189/207,242.88 = 207,242.88/x
  3. Step 3: Cross multiply
    138,189x = 207,242.88 × 207,242.88
  4. Step 4: Simplify right side
    138,189x = 42,949,609,238.27
  5. Step 5: Solve for x
    x = 42,949,609,238.27/138,189
  6. Step 6: Final answer
    x = 310,803.39

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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.