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Finding the Third Proportional to 281,862,824 and 431,218,569

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Solution

The third proportional to 281,862,824 and 431,218,569 is: 659,716,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,862,824 : 431,218,569 = 431,218,569 : x
  2. Step 2: Convert to fraction form
    281,862,824/431,218,569 = 431,218,569/x
  3. Step 3: Cross multiply
    281,862,824x = 431,218,569 × 431,218,569
  4. Step 4: Simplify right side
    281,862,824x = 185,949,454,250,407,776
  5. Step 5: Solve for x
    x = 185,949,454,250,407,776/281,862,824
  6. Step 6: Final answer
    x = 659,716,139.97

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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.