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Finding the Third Proportional to 47,665.13 and 103,631.63

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Solution

The third proportional to 47,665.13 and 103,631.63 is: 225,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,665.13 : 103,631.63 = 103,631.63 : x
  2. Step 2: Convert to fraction form
    47,665.13/103,631.63 = 103,631.63/x
  3. Step 3: Cross multiply
    47,665.13x = 103,631.63 × 103,631.63
  4. Step 4: Simplify right side
    47,665.13x = 10,739,513,700.14
  5. Step 5: Solve for x
    x = 10,739,513,700.14/47,665.13
  6. Step 6: Final answer
    x = 225,311.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.