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Finding the Third Proportional to 65,498.63 and 140,335.88

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Solution

The third proportional to 65,498.63 and 140,335.88 is: 300,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498.63 : 140,335.88 = 140,335.88 : x
  2. Step 2: Convert to fraction form
    65,498.63/140,335.88 = 140,335.88/x
  3. Step 3: Cross multiply
    65,498.63x = 140,335.88 × 140,335.88
  4. Step 4: Simplify right side
    65,498.63x = 19,694,157,812.02
  5. Step 5: Solve for x
    x = 19,694,157,812.02/65,498.63
  6. Step 6: Final answer
    x = 300,680.48

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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.