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Finding the Third Proportional to 281,971,553.25 and 431,062,488.75

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Solution

The third proportional to 281,971,553.25 and 431,062,488.75 is: 658,984,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,971,553.25 : 431,062,488.75 = 431,062,488.75 : x
  2. Step 2: Convert to fraction form
    281,971,553.25/431,062,488.75 = 431,062,488.75/x
  3. Step 3: Cross multiply
    281,971,553.25x = 431,062,488.75 × 431,062,488.75
  4. Step 4: Simplify right side
    281,971,553.25x = 185,814,869,207,343,872
  5. Step 5: Solve for x
    x = 185,814,869,207,343,872/281,971,553.25
  6. Step 6: Final answer
    x = 658,984,450.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.