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Finding the Third Proportional to 46,896.47 and 101,179.13

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Solution

The third proportional to 46,896.47 and 101,179.13 is: 218,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,896.47 : 101,179.13 = 101,179.13 : x
  2. Step 2: Convert to fraction form
    46,896.47/101,179.13 = 101,179.13/x
  3. Step 3: Cross multiply
    46,896.47x = 101,179.13 × 101,179.13
  4. Step 4: Simplify right side
    46,896.47x = 10,237,215,335.77
  5. Step 5: Solve for x
    x = 10,237,215,335.77/46,896.47
  6. Step 6: Final answer
    x = 218,293.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.