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Finding the Third Proportional to 48,376.69 and 102,630.66

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Solution

The third proportional to 48,376.69 and 102,630.66 is: 217,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,376.69 : 102,630.66 = 102,630.66 : x
  2. Step 2: Convert to fraction form
    48,376.69/102,630.66 = 102,630.66/x
  3. Step 3: Cross multiply
    48,376.69x = 102,630.66 × 102,630.66
  4. Step 4: Simplify right side
    48,376.69x = 10,533,051,602.31
  5. Step 5: Solve for x
    x = 10,533,051,602.31/48,376.69
  6. Step 6: Final answer
    x = 217,729.91

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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.