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Finding the Third Proportional to 46,335 and 100,987

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Solution

The third proportional to 46,335 and 100,987 is: 220,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,335 : 100,987 = 100,987 : x
  2. Step 2: Convert to fraction form
    46,335/100,987 = 100,987/x
  3. Step 3: Cross multiply
    46,335x = 100,987 × 100,987
  4. Step 4: Simplify right side
    46,335x = 10,198,374,169
  5. Step 5: Solve for x
    x = 10,198,374,169/46,335
  6. Step 6: Final answer
    x = 220,100.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.