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Finding the Third Proportional to 48,376.69 and 102,631.13

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Solution

The third proportional to 48,376.69 and 102,631.13 is: 217,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,376.69 : 102,631.13 = 102,631.13 : x
  2. Step 2: Convert to fraction form
    48,376.69/102,631.13 = 102,631.13/x
  3. Step 3: Cross multiply
    48,376.69x = 102,631.13 × 102,631.13
  4. Step 4: Simplify right side
    48,376.69x = 10,533,147,818.77
  5. Step 5: Solve for x
    x = 10,533,147,818.77/48,376.69
  6. Step 6: Final answer
    x = 217,731.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.