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Finding the Third Proportional to 68,375.63 and 147,686.25

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Solution

The third proportional to 68,375.63 and 147,686.25 is: 318,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,375.63 : 147,686.25 = 147,686.25 : x
  2. Step 2: Convert to fraction form
    68,375.63/147,686.25 = 147,686.25/x
  3. Step 3: Cross multiply
    68,375.63x = 147,686.25 × 147,686.25
  4. Step 4: Simplify right side
    68,375.63x = 21,811,228,439.06
  5. Step 5: Solve for x
    x = 21,811,228,439.06/68,375.63
  6. Step 6: Final answer
    x = 318,991.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.