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Finding the Third Proportional to 46,899 and 99,947.25

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Solution

The third proportional to 46,899 and 99,947.25 is: 212,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,899 : 99,947.25 = 99,947.25 : x
  2. Step 2: Convert to fraction form
    46,899/99,947.25 = 99,947.25/x
  3. Step 3: Cross multiply
    46,899x = 99,947.25 × 99,947.25
  4. Step 4: Simplify right side
    46,899x = 9,989,452,782.56
  5. Step 5: Solve for x
    x = 9,989,452,782.56/46,899
  6. Step 6: Final answer
    x = 212,999.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.