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Finding the Third Proportional to 83,728.69 and 197,490.66

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Solution

The third proportional to 83,728.69 and 197,490.66 is: 465,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,728.69 : 197,490.66 = 197,490.66 : x
  2. Step 2: Convert to fraction form
    83,728.69/197,490.66 = 197,490.66/x
  3. Step 3: Cross multiply
    83,728.69x = 197,490.66 × 197,490.66
  4. Step 4: Simplify right side
    83,728.69x = 39,002,559,306.06
  5. Step 5: Solve for x
    x = 39,002,559,306.06/83,728.69
  6. Step 6: Final answer
    x = 465,820.74

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.