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Finding the Third Proportional to 140,967 and 215,915.63

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Solution

The third proportional to 140,967 and 215,915.63 is: 330,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,967 : 215,915.63 = 215,915.63 : x
  2. Step 2: Convert to fraction form
    140,967/215,915.63 = 215,915.63/x
  3. Step 3: Cross multiply
    140,967x = 215,915.63 × 215,915.63
  4. Step 4: Simplify right side
    140,967x = 46,619,557,119.14
  5. Step 5: Solve for x
    x = 46,619,557,119.14/140,967
  6. Step 6: Final answer
    x = 330,712.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.