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Finding the Third Proportional to 136,101.75 and 296,199.75

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Solution

The third proportional to 136,101.75 and 296,199.75 is: 644,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,101.75 : 296,199.75 = 296,199.75 : x
  2. Step 2: Convert to fraction form
    136,101.75/296,199.75 = 296,199.75/x
  3. Step 3: Cross multiply
    136,101.75x = 296,199.75 × 296,199.75
  4. Step 4: Simplify right side
    136,101.75x = 87,734,291,900.06
  5. Step 5: Solve for x
    x = 87,734,291,900.06/136,101.75
  6. Step 6: Final answer
    x = 644,622.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.