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Finding the Third Proportional to 46,699.50 and 101,337

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Solution

The third proportional to 46,699.50 and 101,337 is: 219,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,699.50 : 101,337 = 101,337 : x
  2. Step 2: Convert to fraction form
    46,699.50/101,337 = 101,337/x
  3. Step 3: Cross multiply
    46,699.50x = 101,337 × 101,337
  4. Step 4: Simplify right side
    46,699.50x = 10,269,187,569
  5. Step 5: Solve for x
    x = 10,269,187,569/46,699.50
  6. Step 6: Final answer
    x = 219,899.30

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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.