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Finding the Third Proportional to 68,823.11 and 96,919.98

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Solution

The third proportional to 68,823.11 and 96,919.98 is: 136,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,823.11 : 96,919.98 = 96,919.98 : x
  2. Step 2: Convert to fraction form
    68,823.11/96,919.98 = 96,919.98/x
  3. Step 3: Cross multiply
    68,823.11x = 96,919.98 × 96,919.98
  4. Step 4: Simplify right side
    68,823.11x = 9,393,482,614.06
  5. Step 5: Solve for x
    x = 9,393,482,614.06/68,823.11
  6. Step 6: Final answer
    x = 136,487.34

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.