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Finding the Third Proportional to 65,638.69 and 98,458.88

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Solution

The third proportional to 65,638.69 and 98,458.88 is: 147,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,638.69 : 98,458.88 = 98,458.88 : x
  2. Step 2: Convert to fraction form
    65,638.69/98,458.88 = 98,458.88/x
  3. Step 3: Cross multiply
    65,638.69x = 98,458.88 × 98,458.88
  4. Step 4: Simplify right side
    65,638.69x = 9,694,150,066.27
  5. Step 5: Solve for x
    x = 9,694,150,066.27/65,638.69
  6. Step 6: Final answer
    x = 147,689.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.