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Finding the Third Proportional to 46,448.75 and 102,146.63

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Solution

The third proportional to 46,448.75 and 102,146.63 is: 224,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,448.75 : 102,146.63 = 102,146.63 : x
  2. Step 2: Convert to fraction form
    46,448.75/102,146.63 = 102,146.63/x
  3. Step 3: Cross multiply
    46,448.75x = 102,146.63 × 102,146.63
  4. Step 4: Simplify right side
    46,448.75x = 10,433,932,998.89
  5. Step 5: Solve for x
    x = 10,433,932,998.89/46,448.75
  6. Step 6: Final answer
    x = 224,633.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.