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Finding the Third Proportional to 139,694.63 and 221,297.06

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Solution

The third proportional to 139,694.63 and 221,297.06 is: 350,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,694.63 : 221,297.06 = 221,297.06 : x
  2. Step 2: Convert to fraction form
    139,694.63/221,297.06 = 221,297.06/x
  3. Step 3: Cross multiply
    139,694.63x = 221,297.06 × 221,297.06
  4. Step 4: Simplify right side
    139,694.63x = 48,972,389,871.13
  5. Step 5: Solve for x
    x = 48,972,389,871.13/139,694.63
  6. Step 6: Final answer
    x = 350,567.46

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.