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Finding the Third Proportional to 140,218.88 and 196,750.69

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Solution

The third proportional to 140,218.88 and 196,750.69 is: 276,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,218.88 : 196,750.69 = 196,750.69 : x
  2. Step 2: Convert to fraction form
    140,218.88/196,750.69 = 196,750.69/x
  3. Step 3: Cross multiply
    140,218.88x = 196,750.69 × 196,750.69
  4. Step 4: Simplify right side
    140,218.88x = 38,710,833,031.72
  5. Step 5: Solve for x
    x = 38,710,833,031.72/140,218.88
  6. Step 6: Final answer
    x = 276,074.34

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.