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Finding the Third Proportional to 46,333.90 and 101,163.87

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Solution

The third proportional to 46,333.90 and 101,163.87 is: 220,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,333.90 : 101,163.87 = 101,163.87 : x
  2. Step 2: Convert to fraction form
    46,333.90/101,163.87 = 101,163.87/x
  3. Step 3: Cross multiply
    46,333.90x = 101,163.87 × 101,163.87
  4. Step 4: Simplify right side
    46,333.90x = 10,234,128,024.33
  5. Step 5: Solve for x
    x = 10,234,128,024.33/46,333.90
  6. Step 6: Final answer
    x = 220,877.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.