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Finding the Third Proportional to 188,583,560 and 281,713,920

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Solution

The third proportional to 188,583,560 and 281,713,920 is: 420,835,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,583,560 : 281,713,920 = 281,713,920 : x
  2. Step 2: Convert to fraction form
    188,583,560/281,713,920 = 281,713,920/x
  3. Step 3: Cross multiply
    188,583,560x = 281,713,920 × 281,713,920
  4. Step 4: Simplify right side
    188,583,560x = 79,362,732,721,766,400
  5. Step 5: Solve for x
    x = 79,362,732,721,766,400/188,583,560
  6. Step 6: Final answer
    x = 420,835,902.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.