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Finding the Third Proportional to 65,628.98 and 143,969.91

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Solution

The third proportional to 65,628.98 and 143,969.91 is: 315,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,628.98 : 143,969.91 = 143,969.91 : x
  2. Step 2: Convert to fraction form
    65,628.98/143,969.91 = 143,969.91/x
  3. Step 3: Cross multiply
    65,628.98x = 143,969.91 × 143,969.91
  4. Step 4: Simplify right side
    65,628.98x = 20,727,333,905.63
  5. Step 5: Solve for x
    x = 20,727,333,905.63/65,628.98
  6. Step 6: Final answer
    x = 315,825.91

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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.