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Finding the Third Proportional to 68,482.13 and 149,421.38

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Solution

The third proportional to 68,482.13 and 149,421.38 is: 326,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,482.13 : 149,421.38 = 149,421.38 : x
  2. Step 2: Convert to fraction form
    68,482.13/149,421.38 = 149,421.38/x
  3. Step 3: Cross multiply
    68,482.13x = 149,421.38 × 149,421.38
  4. Step 4: Simplify right side
    68,482.13x = 22,326,747,306.89
  5. Step 5: Solve for x
    x = 22,326,747,306.89/68,482.13
  6. Step 6: Final answer
    x = 326,022.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.