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Finding the Third Proportional to 65,693.38 and 144,103.88

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Solution

The third proportional to 65,693.38 and 144,103.88 is: 316,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,693.38 : 144,103.88 = 144,103.88 : x
  2. Step 2: Convert to fraction form
    65,693.38/144,103.88 = 144,103.88/x
  3. Step 3: Cross multiply
    65,693.38x = 144,103.88 × 144,103.88
  4. Step 4: Simplify right side
    65,693.38x = 20,765,926,790.02
  5. Step 5: Solve for x
    x = 20,765,926,790.02/65,693.38
  6. Step 6: Final answer
    x = 316,103.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.