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Finding the Third Proportional to 46,431.75 and 101,764.13

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Solution

The third proportional to 46,431.75 and 101,764.13 is: 223,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,431.75 : 101,764.13 = 101,764.13 : x
  2. Step 2: Convert to fraction form
    46,431.75/101,764.13 = 101,764.13/x
  3. Step 3: Cross multiply
    46,431.75x = 101,764.13 × 101,764.13
  4. Step 4: Simplify right side
    46,431.75x = 10,355,937,137.02
  5. Step 5: Solve for x
    x = 10,355,937,137.02/46,431.75
  6. Step 6: Final answer
    x = 223,035.68

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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.