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Finding the Third Proportional to 48,306.48 and 103,246.42

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Solution

The third proportional to 48,306.48 and 103,246.42 is: 220,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,306.48 : 103,246.42 = 103,246.42 : x
  2. Step 2: Convert to fraction form
    48,306.48/103,246.42 = 103,246.42/x
  3. Step 3: Cross multiply
    48,306.48x = 103,246.42 × 103,246.42
  4. Step 4: Simplify right side
    48,306.48x = 10,659,822,823.38
  5. Step 5: Solve for x
    x = 10,659,822,823.38/48,306.48
  6. Step 6: Final answer
    x = 220,670.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.