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Finding the Third Proportional to 80,830.13 and 173,818.13

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Solution

The third proportional to 80,830.13 and 173,818.13 is: 373,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,830.13 : 173,818.13 = 173,818.13 : x
  2. Step 2: Convert to fraction form
    80,830.13/173,818.13 = 173,818.13/x
  3. Step 3: Cross multiply
    80,830.13x = 173,818.13 × 173,818.13
  4. Step 4: Simplify right side
    80,830.13x = 30,212,740,578.52
  5. Step 5: Solve for x
    x = 30,212,740,578.52/80,830.13
  6. Step 6: Final answer
    x = 373,780.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.