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Finding the Third Proportional to 46,871.16 and 101,108.25

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Solution

The third proportional to 46,871.16 and 101,108.25 is: 218,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,871.16 : 101,108.25 = 101,108.25 : x
  2. Step 2: Convert to fraction form
    46,871.16/101,108.25 = 101,108.25/x
  3. Step 3: Cross multiply
    46,871.16x = 101,108.25 × 101,108.25
  4. Step 4: Simplify right side
    46,871.16x = 10,222,878,218.06
  5. Step 5: Solve for x
    x = 10,222,878,218.06/46,871.16
  6. Step 6: Final answer
    x = 218,105.95

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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.