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Finding the Third Proportional to 109,464.75 and 164,980.13

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Solution

The third proportional to 109,464.75 and 164,980.13 is: 248,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,464.75 : 164,980.13 = 164,980.13 : x
  2. Step 2: Convert to fraction form
    109,464.75/164,980.13 = 164,980.13/x
  3. Step 3: Cross multiply
    109,464.75x = 164,980.13 × 164,980.13
  4. Step 4: Simplify right side
    109,464.75x = 27,218,441,645.02
  5. Step 5: Solve for x
    x = 27,218,441,645.02/109,464.75
  6. Step 6: Final answer
    x = 248,650.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.