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Finding the Third Proportional to 48,920.06 and 103,096.69

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Solution

The third proportional to 48,920.06 and 103,096.69 is: 217,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,920.06 : 103,096.69 = 103,096.69 : x
  2. Step 2: Convert to fraction form
    48,920.06/103,096.69 = 103,096.69/x
  3. Step 3: Cross multiply
    48,920.06x = 103,096.69 × 103,096.69
  4. Step 4: Simplify right side
    48,920.06x = 10,628,926,973.47
  5. Step 5: Solve for x
    x = 10,628,926,973.47/48,920.06
  6. Step 6: Final answer
    x = 217,271.33

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.