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Finding the Third Proportional to 46,337 and 101,695

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Solution

The third proportional to 46,337 and 101,695 is: 223,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,337 : 101,695 = 101,695 : x
  2. Step 2: Convert to fraction form
    46,337/101,695 = 101,695/x
  3. Step 3: Cross multiply
    46,337x = 101,695 × 101,695
  4. Step 4: Simplify right side
    46,337x = 10,341,873,025
  5. Step 5: Solve for x
    x = 10,341,873,025/46,337
  6. Step 6: Final answer
    x = 223,188.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.