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Finding the Third Proportional to 105,903.70 and 232,799.06

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Solution

The third proportional to 105,903.70 and 232,799.06 is: 511,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,903.70 : 232,799.06 = 232,799.06 : x
  2. Step 2: Convert to fraction form
    105,903.70/232,799.06 = 232,799.06/x
  3. Step 3: Cross multiply
    105,903.70x = 232,799.06 × 232,799.06
  4. Step 4: Simplify right side
    105,903.70x = 54,195,403,500.88
  5. Step 5: Solve for x
    x = 54,195,403,500.88/105,903.70
  6. Step 6: Final answer
    x = 511,742.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.