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Finding the Third Proportional to 30,202.88 and 68,237.63

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Solution

The third proportional to 30,202.88 and 68,237.63 is: 154,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.88 : 68,237.63 = 68,237.63 : x
  2. Step 2: Convert to fraction form
    30,202.88/68,237.63 = 68,237.63/x
  3. Step 3: Cross multiply
    30,202.88x = 68,237.63 × 68,237.63
  4. Step 4: Simplify right side
    30,202.88x = 4,656,373,465.64
  5. Step 5: Solve for x
    x = 4,656,373,465.64/30,202.88
  6. Step 6: Final answer
    x = 154,169.88

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.