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Finding the Third Proportional to 281,971,389 and 431,061,538.50

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Solution

The third proportional to 281,971,389 and 431,061,538.50 is: 658,981,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,971,389 : 431,061,538.50 = 431,061,538.50 : x
  2. Step 2: Convert to fraction form
    281,971,389/431,061,538.50 = 431,061,538.50/x
  3. Step 3: Cross multiply
    281,971,389x = 431,061,538.50 × 431,061,538.50
  4. Step 4: Simplify right side
    281,971,389x = 185,814,049,973,986,976
  5. Step 5: Solve for x
    x = 185,814,049,973,986,976/281,971,389
  6. Step 6: Final answer
    x = 658,981,929.45

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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.