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Finding the Third Proportional to 46,118 and 99,501

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Solution

The third proportional to 46,118 and 99,501 is: 214,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,118 : 99,501 = 99,501 : x
  2. Step 2: Convert to fraction form
    46,118/99,501 = 99,501/x
  3. Step 3: Cross multiply
    46,118x = 99,501 × 99,501
  4. Step 4: Simplify right side
    46,118x = 9,900,449,001
  5. Step 5: Solve for x
    x = 9,900,449,001/46,118
  6. Step 6: Final answer
    x = 214,676.46

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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.