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Finding the Third Proportional to 141,903 and 218,180.25

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Solution

The third proportional to 141,903 and 218,180.25 is: 335,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,903 : 218,180.25 = 218,180.25 : x
  2. Step 2: Convert to fraction form
    141,903/218,180.25 = 218,180.25/x
  3. Step 3: Cross multiply
    141,903x = 218,180.25 × 218,180.25
  4. Step 4: Simplify right side
    141,903x = 47,602,621,490.06
  5. Step 5: Solve for x
    x = 47,602,621,490.06/141,903
  6. Step 6: Final answer
    x = 335,458.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.