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Finding the Third Proportional to 65,498.94 and 140,335.35

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Solution

The third proportional to 65,498.94 and 140,335.35 is: 300,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498.94 : 140,335.35 = 140,335.35 : x
  2. Step 2: Convert to fraction form
    65,498.94/140,335.35 = 140,335.35/x
  3. Step 3: Cross multiply
    65,498.94x = 140,335.35 × 140,335.35
  4. Step 4: Simplify right side
    65,498.94x = 19,694,009,801.80
  5. Step 5: Solve for x
    x = 19,694,009,801.80/65,498.94
  6. Step 6: Final answer
    x = 300,676.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.