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Finding the Third Proportional to 99,851 and 151,827

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Solution

The third proportional to 99,851 and 151,827 is: 230,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,851 : 151,827 = 151,827 : x
  2. Step 2: Convert to fraction form
    99,851/151,827 = 151,827/x
  3. Step 3: Cross multiply
    99,851x = 151,827 × 151,827
  4. Step 4: Simplify right side
    99,851x = 23,051,437,929
  5. Step 5: Solve for x
    x = 23,051,437,929/99,851
  6. Step 6: Final answer
    x = 230,858.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.