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Finding the Third Proportional to 48,035.53 and 103,178.81

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Solution

The third proportional to 48,035.53 and 103,178.81 is: 221,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,035.53 : 103,178.81 = 103,178.81 : x
  2. Step 2: Convert to fraction form
    48,035.53/103,178.81 = 103,178.81/x
  3. Step 3: Cross multiply
    48,035.53x = 103,178.81 × 103,178.81
  4. Step 4: Simplify right side
    48,035.53x = 10,645,867,348.91
  5. Step 5: Solve for x
    x = 10,645,867,348.91/48,035.53
  6. Step 6: Final answer
    x = 221,624.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.