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Finding the Third Proportional to 65,693.16 and 144,103.31

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Solution

The third proportional to 65,693.16 and 144,103.31 is: 316,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,693.16 : 144,103.31 = 144,103.31 : x
  2. Step 2: Convert to fraction form
    65,693.16/144,103.31 = 144,103.31/x
  3. Step 3: Cross multiply
    65,693.16x = 144,103.31 × 144,103.31
  4. Step 4: Simplify right side
    65,693.16x = 20,765,764,673.47
  5. Step 5: Solve for x
    x = 20,765,764,673.47/65,693.16
  6. Step 6: Final answer
    x = 316,102.40

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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.