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Finding the Third Proportional to 46,896.19 and 102,686.34

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Solution

The third proportional to 46,896.19 and 102,686.34 is: 224,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,896.19 : 102,686.34 = 102,686.34 : x
  2. Step 2: Convert to fraction form
    46,896.19/102,686.34 = 102,686.34/x
  3. Step 3: Cross multiply
    46,896.19x = 102,686.34 × 102,686.34
  4. Step 4: Simplify right side
    46,896.19x = 10,544,485,192.74
  5. Step 5: Solve for x
    x = 10,544,485,192.74/46,896.19
  6. Step 6: Final answer
    x = 224,847.39

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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.