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Finding the Third Proportional to 111,436.03 and 232,106.06

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Solution

The third proportional to 111,436.03 and 232,106.06 is: 483,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,436.03 : 232,106.06 = 232,106.06 : x
  2. Step 2: Convert to fraction form
    111,436.03/232,106.06 = 232,106.06/x
  3. Step 3: Cross multiply
    111,436.03x = 232,106.06 × 232,106.06
  4. Step 4: Simplify right side
    111,436.03x = 53,873,224,249.25
  5. Step 5: Solve for x
    x = 53,873,224,249.25/111,436.03
  6. Step 6: Final answer
    x = 483,445.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.