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Finding the Third Proportional to 69,319.97 and 151,567.03

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Solution

The third proportional to 69,319.97 and 151,567.03 is: 331,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,319.97 : 151,567.03 = 151,567.03 : x
  2. Step 2: Convert to fraction form
    69,319.97/151,567.03 = 151,567.03/x
  3. Step 3: Cross multiply
    69,319.97x = 151,567.03 × 151,567.03
  4. Step 4: Simplify right side
    69,319.97x = 22,972,564,961.94
  5. Step 5: Solve for x
    x = 22,972,564,961.94/69,319.97
  6. Step 6: Final answer
    x = 331,398.95

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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.