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Finding the Third Proportional to 40,698 and 88,162.13

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Solution

The third proportional to 40,698 and 88,162.13 is: 190,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698 : 88,162.13 = 88,162.13 : x
  2. Step 2: Convert to fraction form
    40,698/88,162.13 = 88,162.13/x
  3. Step 3: Cross multiply
    40,698x = 88,162.13 × 88,162.13
  4. Step 4: Simplify right side
    40,698x = 7,772,560,284.52
  5. Step 5: Solve for x
    x = 7,772,560,284.52/40,698
  6. Step 6: Final answer
    x = 190,981.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.