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Finding the Third Proportional to 68,990.81 and 101,214.19

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Solution

The third proportional to 68,990.81 and 101,214.19 is: 148,488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,990.81 : 101,214.19 = 101,214.19 : x
  2. Step 2: Convert to fraction form
    68,990.81/101,214.19 = 101,214.19/x
  3. Step 3: Cross multiply
    68,990.81x = 101,214.19 × 101,214.19
  4. Step 4: Simplify right side
    68,990.81x = 10,244,311,751.29
  5. Step 5: Solve for x
    x = 10,244,311,751.29/68,990.81
  6. Step 6: Final answer
    x = 148,488.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.