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Finding the Third Proportional to 83,215.69 and 128,035.69

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Solution

The third proportional to 83,215.69 and 128,035.69 is: 196,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,215.69 : 128,035.69 = 128,035.69 : x
  2. Step 2: Convert to fraction form
    83,215.69/128,035.69 = 128,035.69/x
  3. Step 3: Cross multiply
    83,215.69x = 128,035.69 × 128,035.69
  4. Step 4: Simplify right side
    83,215.69x = 16,393,137,273.60
  5. Step 5: Solve for x
    x = 16,393,137,273.60/83,215.69
  6. Step 6: Final answer
    x = 196,995.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.